References. [1] Ahmed I. Zayed, Handbook of Function and Generalized Function. [3] Asiru M. A., Sumudu Transform and Solution of Integral equations of

Size: px
Start display at page:

Download "References. [1] Ahmed I. Zayed, Handbook of Function and Generalized Function. [3] Asiru M. A., Sumudu Transform and Solution of Integral equations of"

Transcription

1 113 References [1] Ahmed I. Zayed, Handbook of Function and Generalized Function Transformations, CRC Press, Inc [2] Apostol T. M., Mathematical analysis, 2 nd ed., Addison-Wesley Publishing Co.World Student Series edition, [3] Asiru M. A., Sumudu Transform and Solution of Integral equations of Convolution type, Internat. J. Educ. Sci. Technol, Vol. 32(6), , [4] Asiru M. A., Further Properties of the Sumudu Transform and its Applications, Inter. J. Math. Ed. Sci. Tech., Vol. 33(2), , [5] Asiru M. A., Applications of the Sumudu Transform to Discrete Dynamicsystem, Inter. J. Math. Ed. Sci. Tech., Vol. 34(6), , [6] Belgacem, Karaballi A. A. and Kalla L. S., Analytical Investigations of the Sumudu Transform and Applications to Integral Production Equations, Mathematical Problems in Engineering, Vol. 3, , [7] Barrios J.A. and Betancor J.J., On Kp Transformation of Distributions, Applicable Analysis, Vol. 42, , [8] Belgacem, Applications of the Sumudu Transformation Indefinite Periodic Parabolic Equations, Proceedings of the International Conference on Nonlinear Problems and Aerospace Applications, Budapest, Hungary, 1 10, [9] Belgacem, Introducing and Analysing Deeper Sumudu Properties, Nonlinear Studies Journal, Vol. 13, (1), 23 41, [10] Belgacem and A. A. Karaballi, Sumudu Transform Fundamental Properties Investigations and Applications, Journal of Applied Mathematics and Stochastic Analysis, 1 23, 2006.

2 114 [11] Belgacem, Karaballi and Kalla A.A., Analytical Investigations of The Sumudu Transform and Applications to Integral Production Equations. Math. Probl. Engr. Vol. 3, , [12] Betancor J. J. and Marrero I., La Laguna, Convolution Operators on Kucera- Type Tpaces for the Hankel Transformation. Czechoslovak Mathematical Journal, Vol. 47 (122), 47-72, [13] Betancor J. J. and Marrero I.,Multipliers of Hankel transformable generalized functions. Comment. Math. Univ. Carolin. Vol. 33, , [14] Betancor J. J. and Marrero I.,The Hankel convolution and the Zemanian spaces Math. Nachr. Vol. 160, , [15] Betancor J. J. and Marrero I., Structure and Convergence in Certain Spaces of Distributions and the Generalized Hankel convolution. Math. Japon. Vol. 38(6), , [16] Betancor J. J. and Marrero I., Some properties of Hankel convolution operators. Canad. Math. Bull. Vol. 36, , [ 17] Belgacem, Boundary Value Problem with Indefinite Weight and Applications, International Journal of Problems of Nonlinear Analysis in Engineering Systems, Vol. 10(2), , [18] Betancor J. J. and Marrero I., A Hilbert-space approach to Hankeltransformable distributions.appl. Anal. Vol. 52, , [19] Betancor J. J. and Marrero I., Multipliers and Convolution Operators on Hankel transformable Hilbert Spaces. Rend. Sem. Mat. Univ. Pol. Torino. Vol. 51(2), , 1993.

3 115 [20] Betancor J.J., Marrero I. and La Laguna, Convolution Operators on Kucera-Type Spaces for the Hankel Transformation, Czechoslovak Mathematical Journal, Vol. 47(122), 47-72, [21] Bateman H., Higher Transcendental Functions, Vol. 2. McGraw Hill, New York, [22] Bremarman H. J., Distributions,Complex variables and Fourier Transforms, Addison Wesley, New York, [23] Bhonsle B. R. and More S. V., On distributional Marchi-Zgrablich transformation, IMA J. Appl. Math. Vol. 34(2), , [24] Copson E. T., Theory of Functions of a Complex Variable, University Press, London, [25] Colombeau J. F., New generalized functions and multiplication of distributions, North Holland publishing Comp. Amsterdam, [26] Carmichael R. D. and Mitrovic D., Disrtibutions and analytic functions, Longam Scientific and Technical New York, [27] Chui C. K., An Introduction to Wavelets, Academic Press, NewYork, [49] Cholewinski F. M. and Haimo D. T., The Dual Poisson Laguerre transform, Trans. Amer. Math. Soc. Vol. 144, , [29] Chaudhary M. S. and Thorat S. P., On Fourier-Jacobi transformation, Indian J. Pure appl. Math., Vol. 27(2), , [30] Chaudhary M. S., Hankel Type Transform of Distribution, Ranchi Univ. Math. Jour. Vol. 12, 9-16, [31] Debnath L., On Laguerre Transform, Bull. Calcutta Math. Soc. Vol. 55, 69 77, 1960.

4 116 [32] Debnath L. and Bhatta D., Integral Transforms and Their Applications, Chapman & Hall CRC Press, Boca Raton London New York, [33] Debnath L., Integral Transforms and Their Applications, CRC Press, Florida, [34] Erdèlyi A., Tables of Integral Transforms, Vol. II, McGraw-Hill Book Co., New York, [35] Erdelyi A., Higher Transcendental Functions,Vol.I,McGraw-Hill Book Co., New York, [36] Gel fand I.M. and Shilov G.E.,Generalized Functions Vol. 2, Academic Press, New York, [37] Glaeske H. J., On Hermite Transform in Spaces of Generalized Functions on R n. Integral Transforms and Special Functions, Vol. 13, , [38] Gorlich E. and Market C., A Convolution Structure for Laguerre Series, Indag. Math. Vol. 44, , [39] Kılıcman A. and Eltayeb H., A Note on Classification of Hyperbolic and Elliptic Equations with Polynomial Coefficients, Applied Mathematics Letters Vol. 21(11), , [40] Kılıcman A. and Gadain H. E., An Application of Double Laplace Transform and Double Sumudu Transform, Lobachevskii Journal of Mathematics, Vol. 30 ( 3), , [41] Kılı A. and Eltayeb H., A Note on Defining Singular Integral as Distribution And Partial Deferential Equation with Convolution term, Mathematical and Computer Modeling , 2009.

5 117 [42] Kılıcman A. and Eltayeb H., On Finite Product of Convolutions and Classifications of Hyperbolic and Elliptic Equations, arxiv: v1 [ math. AP], 16 Jan [43] Kaiser G., A Friendly Guide to Wavelets, Birkhauser Verlag, Boston, [44] Kucera J., Convolution of temperate distributions. Publ. Math. Vol. 33, , [45] Kucera J. and McKennon K., The Topology on Certain Spaces of Multipliers of Temperate distributions. Rocky Mountain J. Math. Vol. 7, , [46] Kucera J. and McKennon K., Continuity of multiplication of distributions. Internat. J. Math. Sci. Vol. 4, , [47] Lebedev N. N., Special Functions and Their Applications, Dover Publications, New York, [48] Lighthill M. J., Fourier analysis and generalized functions, Cambridge Univ. Press, [49] Luo Z. X. and Wang R. H., Stieltjes type theorems for orthogonal polynomials of two variables, J. Math. Anal. Appl. Vol. 268, , [50] McBride A. C & Spratt W. J., On the range of invertibility of a class of Mellin multiplier transforms,i. J.Math. Anal. Appl. Vol. 156(2), , [51] Michel Mizony, Une transformation de Laplace-Jacobi, SIAM J. Math. Anal. Vol. 14, , [52] Marrero and Betancor J. J., Hankel convolution of generalized functions. Rend. Mat.Appl. Vol, 15, , [53] McKennon K., The multiplication functions of Kucera. Czechoslovak Math. J. Vol. 29, , 1979.

6 118 [54] Malgonde S. P. and Chaudhary M. S., A representation of Hankel type Transformable generalized functions, Proc. Nat. Acad. Sci. India Sect.A, Vol. 58(3), , [55] Molina S. and Trione S.E., n-dimensional Hankel transform and complex powers of Bessel operator, Integral Transforms and Special Functions, Vol. 18, , [56] Market C., Mean Cesaro summability of Laguerre expansions and norm estimates with sift parameter, Anal. Math. Vol. 8, 19 37, [57] Morse P.M. and Feshbach H., Methods of Theoretical Physics, Vol. 2, McGraw Hill, New York, [58] Pugh C. C., Real Mathematical Analysis, Springer-Verlag, NewYork, [59] Poularikas A. D., The Transforms and Applications Handbook, The Electrical Engineering Handbook Series, CRC Press, Florida, [60] Pandey J. N. and Chaudhary M. A., The Hilbert transform of generalized functions and applications, Canad. J. Math. Vol. 35(3), , [61] Pathak R. S. and Pandey R. N., Abelian theorems for Mehler-Fock transformations, Math.Soc., Vol. 3, [62] Pathak R. S., Integral transform of Generalized Functions & their applications, Gordon and Breach Science publishers, Netherlands, [63] Pathak R. S., Fourier-Jacobi wavelet transform, Vijnana Parishad Anushandhan Patrika Vol. 47, 7 15, [64] Pathak R. S. and Dixit M. M., Continuous and Discrete Bessel wavelet Transforms, J. Comput. Appl. Math. Vol. 160, , [65] Pathak R. S. and Verma S. R., Eigenfunction wavelet transform, Integral

7 119 Transforms and Special Functions Vol. 20(12), , [66] Pathak R. S. and Pandey C. P., Continuous and discrete Laguerre wavelet transform, Integral Transforms and Special Functions [67] Pathak R.S. and Pandey C.P., Laguerre wavelet transforms Integral Transforms and Special Function Vol.20(7), , [68] Ravenscroft R. A., Rational generating function applications in Maple V: Mathematics and its Application. R. Lopez (ed), Birkhaser [69] Rainville E.D., Special Functions, Chelesea publishing Co. New York, [70] Ragab S. F., On Laguerre polynomials of two variables, Bull. Calcutta Math. Soc. Vol. 83, , [71] Sidharth B. G., A New Integral Transform, arxiv:math v1[math.GM], 4 Dec [72] Shukla A. K., I. A. Salehbhai and J. C. Prajapati, On the Laguerre Transform in Two Variables, Integral Transforms and Special Functions Vol. 20(6), , [73] Sundra Molina and Susana Elena Trione, n-dimensional Hankel Transform and Complex powers of Bessel Operator, Integral Transform and Special Functions, Vol. 18(12), , [74] Spanier J. and Oldham K. B., An Atlas of Functions, Hemisphere Washington DC, Berlin, [75] Spanier J. and Oldham K. B., An Atlas of Functions, Hemisphere Washington DC, Berlin, [76] Scmeerf H. H., Topological Vector Spaces. Grad. Texts in Math. No. 3 (3rd printing), Springer, Berlin, 1971.

8 120 [77] Saxena R. K., Koranne V. D. and Malgonde S. P., On Distributional generalized Stieltjes transformation, J. Indian Acad. Math. Vol. 7(2), , [78] Singh O. P., On Distributional finite transform, Appl. Anal. Vol. 21(3), , [79] Singh O. P., On Distributional Hankel transform, its inversion and application, Appl. Anal. Vol. 32(2), , [80] Singh O.P. and Pathak R. S., Analytic representation of the Distributional finite Hankel transform, Internat. J. Math. Sci. Vol. 8(2), , [81] Singh O.P. and Pandey J. N., The n-dimensional Hilbert Transform of Distributions, its inversion and applications, Canad. J. Math. Vol. 42(2), , [82] Singh O. P. & Pandey J. N., The Fourier-Bessel series representation of the pseudo-differential operator, Proc. Amer. Math. Soc, Vol. 115(4), , [83] Sinha S. K., A Complex inversion Formula and Tauberian theorem for the generalized Whittaker Transform, Jnanabha, Continuous and discrete Laguerre wavelet transform Vol. 11, 31-39, [84] Trimeche K., Generalized Wavelets and Hypergroups, Gordon and Breach Science Publishers, Amsterdam, [85] Treves F., Topological Vector Spaces, Distributions, and Kernels. Academic Press, New York, [86] Temple G., Generalized Functions, 2ed., Oxford University Press. [87] Tiwari A. K., On Disributional generalized Laplace Transform, Math. Student, Vol. 49(2-4), , [88] Watson G. N., Theory of Bessel Functions, Cambridge University Press, Cambridge, 1958.

9 121 [89] Whittaker E. T. and Watson G. N., A Course of Modern Analysis, Cambridge University Press, Cambridge, [90] Watugala G. K., Sumudu Transform-An Integral Transform to Solve Differential Equations and Control Engineering Problems, Inter. J. Math. Ed. Sci. Tech., Vol. 24, 35 42, [91] Watugala G. K., Sumudu Transform, A New Integral Transform to Solve Differential Equations and Control Engineering Problems, Mathematical Engineering in Industry, Vol. 6, , [92] Weerakoon S., Application of Sumudu transform to Partial Ddifferential Equations, Inter. J. Math. Ed. Sci. Tech., Vol. 25(2), , [93] Weerakoon S., Complex Inversion formula for Sumudu Transform, Inter. J. Math. Ed. Sci. Tech., Vol. 29(4), , [94] Watugala G. K., Sumudu transform, A New Integral Tansform to solve Differential equations and Control engineering problems, International Journal of Mathematical Education in Science and Technology, Vol. 24(1), 35 43, [95] Watugala G. K., Sumudu Transform A New Integral Transform to solve Differential Equations and Control Engineering Problems, Mathematical Engineering in Industry, Vol. 6(4), , [96] Watugala G. K., The Sumudu transform for functions of two variables, Mathematical Engineering in Industry, Vol. 8(4), , [97] Weerakoon S., Applications of Sumudu Transform to Partial Differential Equations. Int. J. Math. Educ. Sci. Technol., Vol. 25(2), , [98] Zemanian A. H., Orthonormal series expansions of certain distributions and distributional transform calculus, J. Math. Anal. Appl. Vol. 14, , 1966.

10 122 [99] Zemanian A. H., Generalized Integral Transformations, Interscience Publishers, New York, [100] Zemanian A. H., A Distributional Hankel transformation, SIAM Journal on Applied Mathematics, Vol. 14, , [101] Zemanian A. H., The Hankel transformation of certain distributions of rapid growth. SIAM J. Appl. Math. Vol. 14, , 1966.

INTEGRAL TRANSFORMS and THEIR APPLICATIONS

INTEGRAL TRANSFORMS and THEIR APPLICATIONS INTEGRAL TRANSFORMS and THEIR APPLICATIONS Lokenath Debnath Professor and Chair of Mathematics and Professor of Mechanical and Aerospace Engineering University of Central Florida Orlando, Florida CRC Press

More information

A Generalized Finite Hankel Type Transformation and a Parseval Type Equation

A Generalized Finite Hankel Type Transformation and a Parseval Type Equation International Journal of Scientific and Innovative Mathematical Research (IJSIMR) Volume 4, Issue 1, January 2016, PP 21-31 ISSN 2347-307X (Print) & ISSN 2347-3142 (Online) wwwarcjournalsorg A Generalized

More information

Solution of Nonlinear Fractional Differential. Equations Using the Homotopy Perturbation. Sumudu Transform Method

Solution of Nonlinear Fractional Differential. Equations Using the Homotopy Perturbation. Sumudu Transform Method Applied Mathematical Sciences, Vol. 8, 2014, no. 44, 2195-2210 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/ams.2014.4285 Solution of Nonlinear Fractional Differential Equations Using the Homotopy

More information

Orthonormal Series Expansion and Laguerre-Finite Hankel Transform of Generalized Functions

Orthonormal Series Expansion and Laguerre-Finite Hankel Transform of Generalized Functions IOSR Journal of Mathematics (IOSR-JM) e-issn: 2278-5728, p-issn: 2319-765X. Volume 10, Issue 4 Ver. IV (Jul-Aug. 2014), PP 96-101 Orthonormal Series Expansion and Laguerre-Finite Hankel Transform of Generalized

More information

Note on Partial Differential Equations with Non-Constant Coefficients and Convolution Method

Note on Partial Differential Equations with Non-Constant Coefficients and Convolution Method Appl. Math. Inf. Sci. 6, No. 1, 59-63 (2012) 59 Applied Mathematics & Information Sciences An International Journal Note on Partial Differential Equations with Non-Constant Coefficients and Convolution

More information

Homepage: WWW: george/

Homepage: WWW:  george/ LIST OF PUBLICATIONS of George Gasper (George Gasper, Jr.) (2/16/07 version) Department of Mathematics, Northwestern University, Evanston, Illinois 60208, (847) 491-5592 E-mail: george at math.northwestern.edu

More information

Certain Dual Series Equations Involving Generalized Laguerre Polynomials

Certain Dual Series Equations Involving Generalized Laguerre Polynomials International Journal of Computational and Applied Mathematics. ISSN 1819-4966 Volume 11, Number 1 (2016), pp. 55-59 Research India Publications http://www.ripublication.com Certain Dual Series Equations

More information

Generalized Hankel-Schwartz Type Transformations on L p,ν Spaces of Distributions

Generalized Hankel-Schwartz Type Transformations on L p,ν Spaces of Distributions Int. Journal of Math. Analysis, Vol. 4, 21, no. 51, 2515-2523 Generalized Hankel-Schwartz Type Transformations on L p,ν Spaces of Distributions B. B. Waphare MAEER s MIT Arts, Commerce and Science College

More information

Boehmians, pseudoquotients,

Boehmians, pseudoquotients, Boehmians, pseudoquotients, and related topics This is a list of papers on Boehmians, pseudoquotients, and related topics. If you know of a paper that is missing from my list, or if you have any other

More information

On some Summation Formulae for the I-Function of Two Variables

On some Summation Formulae for the I-Function of Two Variables Available at http://pvamu.edu/aam Appl. Appl. Math. ISSN: 932-9466 Vol. 9, Issue (June 204), pp. 362-370 Applications and Applied Mathematics: An International Journal (AAM) On some Summation Formulae

More information

A National Alumni Teaching Award for undergraduate teaching

A National Alumni Teaching Award for undergraduate teaching WILLIAM R. WADE email: William.wade@biola.edu CV: EDUCATION A.B. cum laude, M.A., Ph.D. University of California, Riverside HONORS Fulbright to Moscow University in Russia Fulbright to the Indian Statistical

More information

Solution of Partial Differential Equations with Variables Coefficients Using Double Sumudu Transform

Solution of Partial Differential Equations with Variables Coefficients Using Double Sumudu Transform International Journal of Scientific and Research Publications, Volume 6, Issue 6, June 2016 37 Solution of Partial Differential Equations with Variables Coefficients Using Double Sumudu Transform Mukhtar

More information

Boehmians, pseudoquotients,

Boehmians, pseudoquotients, Boehmians, pseudoquotients, and related topics This is a list of papers on Boehmians, pseudoquotients, and related topics. If you know of a paper that is missing from my list, or if you have any other

More information

A Note on Integral Transforms and Partial Differential Equations

A Note on Integral Transforms and Partial Differential Equations Applied Mathematical Sciences, Vol 4, 200, no 3, 09-8 A Note on Integral Transforms and Partial Differential Equations Adem Kılıçman and Hassan Eltayeb Department of Mathematics and Institute for Mathematical

More information

On a class of generalized Meijer Laplace transforms of Fox function type kernels and their extension to a class of Boehmians

On a class of generalized Meijer Laplace transforms of Fox function type kernels and their extension to a class of Boehmians Georgian Math. J. 218; 25(1): 1 8 Research Article Shrideh Khalaf Qasem Al-Omari* On a class of generalized Meijer Laplace transforms of Fox function type kernels their extension to a class of Boehmians

More information

Polyexponentials. Khristo N. Boyadzhiev Ohio Northern University Departnment of Mathematics Ada, OH

Polyexponentials. Khristo N. Boyadzhiev Ohio Northern University Departnment of Mathematics Ada, OH Polyexponentials Khristo N. Boyadzhiev Ohio Northern University Departnment of Mathematics Ada, OH 45810 k-boyadzhiev@onu.edu 1. Introduction. The polylogarithmic function [15] (1.1) and the more general

More information

CertainFractionalDerivativeFormulaeInvolvingtheProductofaGeneralClassofPolynomialsandtheMultivariableGimelFunction

CertainFractionalDerivativeFormulaeInvolvingtheProductofaGeneralClassofPolynomialsandtheMultivariableGimelFunction Global Journal of Science Frontier Research: F Mathematics and Decision Sciences Volume 18 Issue 6 Version 1.0 Year 2018 Type: Double Blind Peer Reviewed International Research Journal Publisher: Global

More information

The Dual Space χ 2 of Double Sequences

The Dual Space χ 2 of Double Sequences Article International Journal of Modern Mathematical Sciences, 2013, 7(3): 262-275 International Journal of Modern Mathematical Sciences Journal homepage:www.modernscientificpress.com/journals/ijmms.aspx

More information

International Journal of Pure and Applied Sciences and Technology

International Journal of Pure and Applied Sciences and Technology Int J Pure Appl Sci Technol, 15(2) (2013), pp 62-67 International Journal of Pure and Applied Sciences and Technology ISSN 2229-6107 Available online at wwwijopaasatin Research Paper Operation Transform

More information

LIST OF PUBLICATIONS

LIST OF PUBLICATIONS 73 LIST OF PUBLICATIONS [1] N.Subramanian, S. Krishnamoorthy and S. Balasubramanian, The semi Orlicz space of χ of analytic,global Journal of Pure and Applied Mathematics, Vol. 5, NO.3 (2009), pp.209-216.

More information

Papers Published. Edward Neuman. Department of Mathematics, Southern Illinois University, Carbondale. and

Papers Published. Edward Neuman. Department of Mathematics, Southern Illinois University, Carbondale. and Papers Published Edward Neuman Department of Mathematics, Southern Illinois University, Carbondale and Mathematical Research Institute, 144 Hawthorn Hollow, Carbondale, IL, 62903, USA 134. On Yang means

More information

NOTES FOR HARTLEY TRANSFORMS OF GENERALIZED FUNCTIONS. S.K.Q. Al-Omari. 1. Introduction

NOTES FOR HARTLEY TRANSFORMS OF GENERALIZED FUNCTIONS. S.K.Q. Al-Omari. 1. Introduction italian journal of pure and applied mathematics n. 28 2011 (21 30) 21 NOTES FOR HARTLEY TRANSFORMS OF GENERALIZED FUNCTIONS S.K.Q. Al-Omari Department of Applied Sciences Faculty of Engineering Technology

More information

A Sumudu based algorithm for solving differential equations

A Sumudu based algorithm for solving differential equations Computer Science Journal of Moldova, vol.15, no.3(45), 2007 A Sumudu based algorithm for solving differential equations Jun Zhang Abstract An algorithm based on Sumudu transform is developed. The algorithm

More information

Publications: Charles Fulton. Papers On Sturm-Liouville Theory

Publications: Charles Fulton. Papers On Sturm-Liouville Theory Publications: Charles Fulton Papers On Sturm-Liouville Theory References [1] C. Fulton, Parametrizations of Titchmarsh s m(λ)- Functions in the limit circle case, Trans. Amer. Math. Soc. 229, (1977), 51-63.

More information

The Use of Kamal Transform for Solving Partial Differential Equations

The Use of Kamal Transform for Solving Partial Differential Equations Adances in Theoretical and Applied Mathematics ISSN 973-4554 Volume 12, Number 1 (217), pp. 7-13 Research India Publications http://www.ripublication.com The Use of Kamal Transform for Soling Partial Differential

More information

Guide for Ph.D. Area Examination in Applied Mathematics

Guide for Ph.D. Area Examination in Applied Mathematics Guide for Ph.D. Area Examination in Applied Mathematics (for graduate students in Purdue University s School of Mechanical Engineering) (revised Fall 2016) This is a 3 hour, closed book, written examination.

More information

AND NONLINEAR SCIENCE SERIES. Partial Differential. Equations with MATLAB. Matthew P. Coleman. CRC Press J Taylor & Francis Croup

AND NONLINEAR SCIENCE SERIES. Partial Differential. Equations with MATLAB. Matthew P. Coleman. CRC Press J Taylor & Francis Croup CHAPMAN & HALL/CRC APPLIED MATHEMATICS AND NONLINEAR SCIENCE SERIES An Introduction to Partial Differential Equations with MATLAB Second Edition Matthew P Coleman Fairfield University Connecticut, USA»C)

More information

List of publications

List of publications List of publications Piotr Mikusiński Department of Mathematics University of Central Florida Books 1. Mikusiński, Jan; Mikusiński, Piotr, An Introduction to Analysis, World Scientific, 2017. ISBN-13:

More information

FRACTIONAL FOURIER TRANSFORM AND FRACTIONAL DIFFUSION-WAVE EQUATIONS

FRACTIONAL FOURIER TRANSFORM AND FRACTIONAL DIFFUSION-WAVE EQUATIONS FRACTIONAL FOURIER TRANSFORM AND FRACTIONAL DIFFUSION-WAVE EQUATIONS L. Boyadjiev*, B. Al-Saqabi** Department of Mathematics, Faculty of Science, Kuwait University *E-mail: boyadjievl@yahoo.com **E-mail:

More information

WAVELET EXPANSIONS OF DISTRIBUTIONS

WAVELET EXPANSIONS OF DISTRIBUTIONS WAVELET EXPANSIONS OF DISTRIBUTIONS JASSON VINDAS Abstract. These are lecture notes of a talk at the School of Mathematics of the National University of Costa Rica. The aim is to present a wavelet expansion

More information

ON THE STABILITY OF THE MONOMIAL FUNCTIONAL EQUATION

ON THE STABILITY OF THE MONOMIAL FUNCTIONAL EQUATION Bull. Korean Math. Soc. 45 (2008), No. 2, pp. 397 403 ON THE STABILITY OF THE MONOMIAL FUNCTIONAL EQUATION Yang-Hi Lee Reprinted from the Bulletin of the Korean Mathematical Society Vol. 45, No. 2, May

More information

Papers On Sturm-Liouville Theory

Papers On Sturm-Liouville Theory Papers On Sturm-Liouville Theory References [1] C. Fulton, Parametrizations of Titchmarsh s m()- Functions in the limit circle case, Trans. Amer. Math. Soc. 229, (1977), 51-63. [2] C. Fulton, Parametrizations

More information

R. Estrada and J. Vindas ON DISTRIBUTIONAL POINT VALUES AND BOUNDARY VALUES OF ANALYTIC FUNCTIONS

R. Estrada and J. Vindas ON DISTRIBUTIONAL POINT VALUES AND BOUNDARY VALUES OF ANALYTIC FUNCTIONS Rend. Sem. Mat. Univ. Politec. Torino Vol. 70, 2 (2012), 121 126 R. Estrada and J. Vindas ON DISTRIBUTIONAL POINT VALUES AND BOUNDARY VALUES OF ANALYTIC FUNCTIONS Abstract. We give the following version

More information

Bernstein-Szegö Inequalities in Reproducing Kernel Hilbert Spaces ABSTRACT 1. INTRODUCTION

Bernstein-Szegö Inequalities in Reproducing Kernel Hilbert Spaces ABSTRACT 1. INTRODUCTION Malaysian Journal of Mathematical Sciences 6(2): 25-36 (202) Bernstein-Szegö Inequalities in Reproducing Kernel Hilbert Spaces Noli N. Reyes and Rosalio G. Artes Institute of Mathematics, University of

More information

QUADRUPLE INTEGRAL EQUATIONS INVOLVING FOX S H-FUNCTIONS. 1.Dept. of Mathematics, Saifia Science College, Bhopal, (M.P.), INDIA

QUADRUPLE INTEGRAL EQUATIONS INVOLVING FOX S H-FUNCTIONS. 1.Dept. of Mathematics, Saifia Science College, Bhopal, (M.P.), INDIA QUADRUPLE INTEGRAL EQUATIONS INVOLVING FOX S H-FUNCTIONS Mathur 1, P.K & Singh 2, Anjana 1.Dept. of Mathematics, Saifia Science College, Bhopal, (M.P.), INDIA 2.Dept. of Mathematics,Rajeev Gandhi Engineering

More information

ON THE TAYLOR COEFFICIENTS OF THE HURWITZ ZETA FUNCTION

ON THE TAYLOR COEFFICIENTS OF THE HURWITZ ZETA FUNCTION ON THE TAYLOR COEFFICIENTS OF THE HURWITZ ZETA FUNCTION Khristo N. Boyadzhiev Department of Mathematics, Ohio Northern University, Ada, Ohio, 45810 k-boyadzhiev@onu.edu Abstract. We find a representation

More information

Syllabus (Session )

Syllabus (Session ) Syllabus (Session 2016-17) Department of Mathematics nstitute of Applied Sciences & Humanities AHM-1101: ENGNEERNG MATHEMATCS Course Objective: To make the students understand the concepts of Calculus,

More information

IN MEMORIUM OF CHARLES FOX. R.K. Saxena

IN MEMORIUM OF CHARLES FOX. R.K. Saxena IN MEMORIUM OF CHARLES FOX R.K. Saxena CHARLES FOX was born on 17 March 1897, in London, England and was son of Morris and Fenny Fox. He studied in Sidney Sussex College, Cambridge in 1915. After two years,

More information

Fourier-Bessel Transform for Tempered Boehmians

Fourier-Bessel Transform for Tempered Boehmians Int. Journal of Math. Analysis, Vol. 4, 1, no. 45, 199-1 Fourier-Bessel Transform for Tempered Boehmians Abhishek Singh, Deshna Loonker P. K. Banerji Department of Mathematics Faculty of Science, J. N.

More information

Orthonormal series expansion and finite spherical Hankel transform of generalized functions

Orthonormal series expansion and finite spherical Hankel transform of generalized functions Malaya Journal of Matematik 2(1)(2013) 77 82 Orthonormal series expansion and finite spherical Hankel transform of generalized functions S.K. Panchal a, a Department of Mathematics, Dr. Babasaheb Ambedkar

More information

Remarks on the Rademacher-Menshov Theorem

Remarks on the Rademacher-Menshov Theorem Remarks on the Rademacher-Menshov Theorem Christopher Meaney Abstract We describe Salem s proof of the Rademacher-Menshov Theorem, which shows that one constant works for all orthogonal expansions in all

More information

Application of the generalized shift operator to the Hankel transform

Application of the generalized shift operator to the Hankel transform Baddour SpringerPlus 214, 3:246 a SpringerOpen Journal SHORT REPORT Open Access Application of the generalized shift operator to the Hankel transform Natalie Baddour Abstract It is well known that the

More information

Curriculum Vitae Hassan Eltayeb Gadain Salaim Institute for Mathematics Research University Putra Malaysia, UPM, Serdang, Selangor

Curriculum Vitae Hassan Eltayeb Gadain Salaim Institute for Mathematics Research University Putra Malaysia, UPM, Serdang, Selangor Curriculum Vitae Hassan Eltayeb Gadain Salaim Institute for Mathematics Research University Putra Malaysia, 43400 UPM, Serdang, Selangor Personal Information Name: Hassan Eltayeb Gadaub Salaim Date of

More information

[24] T. Koga, A rational interpretation of the Dirac equation for the electron, Int. J. Theo. Physics 13 (1975), [25] T.

[24] T. Koga, A rational interpretation of the Dirac equation for the electron, Int. J. Theo. Physics 13 (1975), [25] T. References [1] J. L. Anderson, Principles of Relativity Physics, Academic Press, 1967. [2] V. Bargmann, Some strangeness in proportion, In H. Woolf, editor, A Centennial symposium to celebrate the achievements

More information

Some New Type of Difference Sequence Space of Non-absolute Type

Some New Type of Difference Sequence Space of Non-absolute Type Article International Journal of Modern Mathematical Sciences, 2016, 14(1): 116-122 International Journal of Modern Mathematical Sciences Journal homepage: www.modernscientificpress.com/journals/ijmms.aspx

More information

Nina Virchenko. Abstract

Nina Virchenko. Abstract ON THE GENERALIZED CONFLUENT HYPERGEOMETRIC FUNCTION AND ITS APPLICATION Nina Virchenko Dedicated to Professor Megumi Saigo, on the occasion of his 7th birthday Abstract This paper is devoted to further

More information

Bilinear generating relations for a family of q-polynomials and generalized basic hypergeometric functions

Bilinear generating relations for a family of q-polynomials and generalized basic hypergeometric functions ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA Volume 16, Number 2, 2012 Available online at www.math.ut.ee/acta/ Bilinear generating relations for a family of -polynomials and generalized

More information

The Bessel Wavelet Transform

The Bessel Wavelet Transform Int. Journal of Math. Analysis, Vol. 5, 211, no. 2, 87-97 The Bessel Wavelet Transform Akhilesh Prasad* and Ashutosh Mahato Department of Applied Mathematics Indian School of Mines Dhanbad-8264, Jharkhand,

More information

The Homotopy Perturbation Sumudu Transform Method For Solving The Nonlinear Partial Differential Equations

The Homotopy Perturbation Sumudu Transform Method For Solving The Nonlinear Partial Differential Equations The Homotopy Perturbation Sumudu Transform Method For Solving The Nonlinear Partial Differential Equations HANAN M. ABED RAHMAN Higher Technological Institute Department of Basic Sciences Tenth Of Ramadan

More information

ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS. Special Functions GEORGE E. ANDREWS RICHARD ASKEY RANJAN ROY CAMBRIDGE UNIVERSITY PRESS

ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS. Special Functions GEORGE E. ANDREWS RICHARD ASKEY RANJAN ROY CAMBRIDGE UNIVERSITY PRESS ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS Special Functions GEORGE E. ANDREWS RICHARD ASKEY RANJAN ROY CAMBRIDGE UNIVERSITY PRESS Preface page xiii 1 The Gamma and Beta Functions 1 1.1 The Gamma

More information

Special Functions of Mathematical Physics

Special Functions of Mathematical Physics Arnold F. Nikiforov Vasilii B. Uvarov Special Functions of Mathematical Physics A Unified Introduction with Applications Translated from the Russian by Ralph P. Boas 1988 Birkhäuser Basel Boston Table

More information

Fractional Calculus for Solving Abel s Integral Equations Using Chebyshev Polynomials

Fractional Calculus for Solving Abel s Integral Equations Using Chebyshev Polynomials Applied Mathematical Sciences, Vol. 5, 211, no. 45, 227-2216 Fractional Calculus for Solving Abel s Integral Equations Using Chebyshev Polynomials Z. Avazzadeh, B. Shafiee and G. B. Loghmani Department

More information

Wave Equation--1-Dimensional

Wave Equation--1-Dimensional Page 1 of 7 INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational

More information

Integral Transforms and Fractional Integral Operators Associated with S-Generalized Gauss Hypergeometric Function

Integral Transforms and Fractional Integral Operators Associated with S-Generalized Gauss Hypergeometric Function Global Journal of Pure and Applied Mathematics. ISSN 973-1768 Volume 13, Number 9 217, pp. 537 547 Research India Publications http://www.ripublication.com/gjpam.htm Integral Transforms and Fractional

More information

UNIFORM BOUNDS FOR BESSEL FUNCTIONS

UNIFORM BOUNDS FOR BESSEL FUNCTIONS Journal of Applied Analysis Vol. 1, No. 1 (006), pp. 83 91 UNIFORM BOUNDS FOR BESSEL FUNCTIONS I. KRASIKOV Received October 8, 001 and, in revised form, July 6, 004 Abstract. For ν > 1/ and x real we shall

More information

International Journal of Pure and Applied Mathematics Volume 55 No ,

International Journal of Pure and Applied Mathematics Volume 55 No , International Journal of Pure and Applied Mathematics Volume 55 No. 9, 47-56 THE HANKEL CONVOLUTION OF ARBITRARY ORDER C.K. Li Department of Mathematics and Computer Science Brandon University Brandon,

More information

MATHEMATICAL HANDBOOK. Formulas and Tables

MATHEMATICAL HANDBOOK. Formulas and Tables SCHAUM'S OUTLINE SERIES MATHEMATICAL HANDBOOK of Formulas and Tables Second Edition MURRAY R. SPIEGEL, Ph.D. Former Professor and Chairman Mathematics Department Rensselaer Polytechnic Institute Hartford

More information

The heat equation for the Hermite operator on the Heisenberg group

The heat equation for the Hermite operator on the Heisenberg group Hokkaido Mathematical Journal Vol. 34 (2005) p. 393 404 The heat equation for the Hermite operator on the Heisenberg group M. W. Wong (Received August 5, 2003) Abstract. We give a formula for the one-parameter

More information

Tobias Holck Colding: Publications. 1. T.H. Colding and W.P. Minicozzi II, Dynamics of closed singularities, preprint.

Tobias Holck Colding: Publications. 1. T.H. Colding and W.P. Minicozzi II, Dynamics of closed singularities, preprint. Tobias Holck Colding: Publications 1. T.H. Colding and W.P. Minicozzi II, Dynamics of closed singularities, preprint. 2. T.H. Colding and W.P. Minicozzi II, Analytical properties for degenerate equations,

More information

Solution of fractional oxygen diffusion problem having without singular kernel

Solution of fractional oxygen diffusion problem having without singular kernel Available online at www.isr-publications.com/jnsa J. Nonlinear Sci. Appl., 1 (17), 99 37 Research Article Journal Homepage: www.tjnsa.com - www.isr-publications.com/jnsa Solution of fractional oxygen diffusion

More information

Integral representations for the Dirichlet L-functions and their expansions in Meixner-Pollaczek polynomials and rising factorials

Integral representations for the Dirichlet L-functions and their expansions in Meixner-Pollaczek polynomials and rising factorials Integral representations for the Dirichlet L-functions and their expansions in Meixner-Pollaczek polynomials and rising factorials A. Kuznetsov Dept. of Mathematical Sciences University of New Brunswick

More information

List of Publications

List of Publications Jan Hamhalter Czech Technical University - El. Eng. Department of Mathematics Technická 2 166 27 Prague 6 e mail: Hamhalte@math.feld.cvut.cz 23.10.2018 List of Publications Books [A] Jan Hamhalter: Quantum

More information

arxiv: v1 [math.ca] 3 Aug 2008

arxiv: v1 [math.ca] 3 Aug 2008 A generalization of the Widder potential transform and applications arxiv:88.317v1 [math.ca] 3 Aug 8 Neşe Dernek a, Veli Kurt b, Yılmaz Şimşek b, Osman Yürekli c, a Department of Mathematics, University

More information

References. [1] 1. J. R. Aitchison, Relativistic Quantum Mechanics, Macmillan, [7] C. Blatter, Wavelets: A Primer, A. K.

References. [1] 1. J. R. Aitchison, Relativistic Quantum Mechanics, Macmillan, [7] C. Blatter, Wavelets: A Primer, A. K. References [1] 1. J. R. Aitchison, Relativistic Quantum Mechanics, Macmillan, 1972. [2] S. T. Ali, J.-P. Antoine and J.-P. Gazeau, Coherent States, Wavelets and Their Generalizations, Springer-Verlag,

More information

International Journal of Pure and Applied Sciences and Technology

International Journal of Pure and Applied Sciences and Technology Int. J. Pure Appl. Sci. Technol., 9(1) (2012), pp. 5260 International Journal of Pure and Applied Sciences and Technology ISSN 2229 6107 Available online at www.ijopaasat.in Research Paper Development

More information

Normality of adjointable module maps

Normality of adjointable module maps MATHEMATICAL COMMUNICATIONS 187 Math. Commun. 17(2012), 187 193 Normality of adjointable module maps Kamran Sharifi 1, 1 Department of Mathematics, Shahrood University of Technology, P. O. Box 3619995161-316,

More information

Pseudo-Differential Operators associated with Bessel Type Operators - I

Pseudo-Differential Operators associated with Bessel Type Operators - I Thai Journal of Mathematics Volume 8 (21 Number 1 : 51 62 www.math.science.cmu.ac.th/thaijournal Online ISSN 1686-29 Pseudo-Differential Operators associated with Bessel Type Operators - I B. B. Waphare

More information

Tobias Holck Colding: Publications

Tobias Holck Colding: Publications Tobias Holck Colding: Publications [1] T.H. Colding and W.P. Minicozzi II, The singular set of mean curvature flow with generic singularities, submitted 2014. [2] T.H. Colding and W.P. Minicozzi II, Lojasiewicz

More information

Stability of Adjointable Mappings in Hilbert

Stability of Adjointable Mappings in Hilbert Stability of Adjointable Mappings in Hilbert arxiv:math/0501139v2 [math.fa] 1 Aug 2005 C -Modules M. S. Moslehian Abstract The generalized Hyers Ulam Rassias stability of adjointable mappings on Hilbert

More information

Sharp estimates for a class of hyperbolic pseudo-differential equations

Sharp estimates for a class of hyperbolic pseudo-differential equations Results in Math., 41 (2002), 361-368. Sharp estimates for a class of hyperbolic pseudo-differential equations Michael Ruzhansky Abstract In this paper we consider the Cauchy problem for a class of hyperbolic

More information

Horst Alzer A MEAN VALUE INEQUALITY FOR THE DIGAMMA FUNCTION

Horst Alzer A MEAN VALUE INEQUALITY FOR THE DIGAMMA FUNCTION Rendiconti Sem. Mat. Univ. Pol. Torino Vol. 75, 2 (207), 9 25 Horst Alzer A MEAN VALUE INEQUALITY FOR THE DIGAMMA FUNCTION Abstract. A recently published result states that for all ψ is greater than or

More information

Abstract We paid attention to the methodology of two integral

Abstract We paid attention to the methodology of two integral Comparison of Homotopy Perturbation Sumudu Transform method and Homotopy Decomposition method for solving nonlinear Fractional Partial Differential Equations 1 Rodrigue Batogna Gnitchogna 2 Abdon Atangana

More information

TOPICS. P. Lax, Functional Analysis, Wiley-Interscience, New York, Basic Function Theory in multiply connected domains.

TOPICS. P. Lax, Functional Analysis, Wiley-Interscience, New York, Basic Function Theory in multiply connected domains. TOPICS Besicovich covering lemma. E. M. Stein and G. Weiss, Introduction to Fourier analysis on Euclidean spaces. Princeton University Press, Princeton, N.J., 1971. Theorems of Carethedory Toeplitz, Bochner,...

More information

Sr. No. Subject Code. Subject Name

Sr. No. Subject Code. Subject Name TEACHING AND EXAMINATION SCHEME Semester I Sr. No. Subject Code Subject Name Credit Hours (per week) Theory Practical Lecture(DT) Practical(Lab.) Lecture(DT) Practical(Lab.) CE SEE Total CE SEE Total L

More information

Die Grundlehren der mathematischen Wissenschaften

Die Grundlehren der mathematischen Wissenschaften Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Beriicksichtigung der Anwendungsgebiete Band 52 H erau.fgegeben von J. L. Doob. E. Heinz F. Hirzebruch. E. Hopf H.

More information

NPTEL

NPTEL NPTEL Syllabus Selected Topics in Mathematical Physics - Video course COURSE OUTLINE Analytic functions of a complex variable. Calculus of residues, Linear response; dispersion relations. Analytic continuation

More information

Shift Invariant Spaces and Shift Generated Dual Frames for Local Fields

Shift Invariant Spaces and Shift Generated Dual Frames for Local Fields Communications in Mathematics and Applications Volume 3 (2012), Number 3, pp. 205 214 RGN Publications http://www.rgnpublications.com Shift Invariant Spaces and Shift Generated Dual Frames for Local Fields

More information

PARTIAL DIFFERENTIAL EQUATIONS. MTH 5230, Fall 2007, MW 6:30 pm - 7:45 pm. George M. Skurla Hall 116

PARTIAL DIFFERENTIAL EQUATIONS. MTH 5230, Fall 2007, MW 6:30 pm - 7:45 pm. George M. Skurla Hall 116 PARTIAL DIFFERENTIAL EQUATIONS MTH 5230, Fall 2007, MW 6:30 pm - 7:45 pm George M. Skurla Hall 116 Ugur G. Abdulla Office Hours: S311, TR 2-3 pm COURSE DESCRIPTION The course presents partial diffrential

More information

Distribution Solutions of Some PDEs Related to the Wave Equation and the Diamond Operator

Distribution Solutions of Some PDEs Related to the Wave Equation and the Diamond Operator Applied Mathematical Sciences, Vol. 7, 013, no. 111, 5515-554 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.1988/ams.013.3844 Distribution Solutions of Some PDEs Related to the Wave Equation and the

More information

Polynomial Integral Transform for Solving Differential Equations

Polynomial Integral Transform for Solving Differential Equations EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS Vol. 9, No. 2, 206, 40-5 ISSN 307-5543 www.ejpam.com Polynomial Integral Transform for Solving Differential Equations Benedict Barnes School of Agriculture

More information

ON THE BEHAVIOR OF THE SOLUTION OF THE WAVE EQUATION. 1. Introduction. = u. x 2 j

ON THE BEHAVIOR OF THE SOLUTION OF THE WAVE EQUATION. 1. Introduction. = u. x 2 j ON THE BEHAVIO OF THE SOLUTION OF THE WAVE EQUATION HENDA GUNAWAN AND WONO SETYA BUDHI Abstract. We shall here study some properties of the Laplace operator through its imaginary powers, and apply the

More information

JACOBI TYPE AND GEGENBAUER TYPE GENERALIZATION OF CERTAIN POLYNOMIALS. Mumtaz Ahmad Khan and Mohammad Asif. 1. Introduction

JACOBI TYPE AND GEGENBAUER TYPE GENERALIZATION OF CERTAIN POLYNOMIALS. Mumtaz Ahmad Khan and Mohammad Asif. 1. Introduction MATEMATIQKI VESNIK 64 (0) 47 58 June 0 originalni nauqni rad research paper JACOBI TYPE AND GEGENBAUER TYPE GENERALIZATION OF CERTAIN POLYNOMIALS Mumtaz Ahmad Khan and Mohammad Asif Abstract. This paper

More information

Mahmoud M. El-Borai a, Abou-Zaid H. El-Banna b, Walid H. Ahmed c a Department of Mathematics, faculty of science, Alexandria university, Alexandria.

Mahmoud M. El-Borai a, Abou-Zaid H. El-Banna b, Walid H. Ahmed c a Department of Mathematics, faculty of science, Alexandria university, Alexandria. International Journal of Basic & Applied Sciences IJBAS-IJENS Vol:13 No:01 52 On Some Fractional-Integro Partial Differential Equations Mahmoud M. El-Borai a, Abou-Zaid H. El-Banna b, Walid H. Ahmed c

More information

A Study of Unified Integrals Involving the Generalized Legendre's Associated Function, the generalized Polynomial Set and H-Function with Applications

A Study of Unified Integrals Involving the Generalized Legendre's Associated Function, the generalized Polynomial Set and H-Function with Applications A Study of Unified Integrals Involving the Generalized Legendre's Associated Function, the generalized Polynomial Set and H-Function with Applications 1 2 Shalini Shekhawat, Sanjay Bhatter Department of

More information

Tyn Myint-U Lokenath Debnath. Linear Partial Differential Equations for Scientists and Engineers. Fourth Edition. Birkhauser Boston Basel Berlin

Tyn Myint-U Lokenath Debnath. Linear Partial Differential Equations for Scientists and Engineers. Fourth Edition. Birkhauser Boston Basel Berlin Tyn Myint-U Lokenath Debnath Linear Partial Differential Equations for Scientists and Engineers Fourth Edition Birkhauser Boston Basel Berlin Preface to the Fourth Edition Preface to the Third Edition

More information

BANACH FRAMES GENERATED BY COMPACT OPERATORS ASSOCIATED WITH A BOUNDARY VALUE PROBLEM

BANACH FRAMES GENERATED BY COMPACT OPERATORS ASSOCIATED WITH A BOUNDARY VALUE PROBLEM TWMS J. Pure Appl. Math., V.6, N.2, 205, pp.254-258 BRIEF PAPER BANACH FRAMES GENERATED BY COMPACT OPERATORS ASSOCIATED WITH A BOUNDARY VALUE PROBLEM L.K. VASHISHT Abstract. In this paper we give a type

More information

Ninth International Water Technology Conference, IWTC9 2005, Sharm El-Sheikh, Egypt 673

Ninth International Water Technology Conference, IWTC9 2005, Sharm El-Sheikh, Egypt 673 Ninth International Water Technology Conference, IWTC9 2005, Sharm El-Sheikh, Egypt 673 A NEW NUMERICAL APPROACH FOR THE SOLUTION OF CONTAMINANT TRANSPORT EQUATION Mohamed El-Gamel Department of Mathematical

More information

On the Connections Between Laplace and ELzaki Transforms

On the Connections Between Laplace and ELzaki Transforms Adances in Theoretical and Applied Mathematics. ISSN 973-4554 Volume 6, Number (), pp. Research India Publications http://www.ripublication.com/atam.htm On the Connections Between Laplace and ELzaki Transforms

More information

THE SEMI ORLICZ SPACE cs d 1

THE SEMI ORLICZ SPACE cs d 1 Kragujevac Journal of Mathematics Volume 36 Number 2 (2012), Pages 269 276. THE SEMI ORLICZ SPACE cs d 1 N. SUBRAMANIAN 1, B. C. TRIPATHY 2, AND C. MURUGESAN 3 Abstract. Let Γ denote the space of all entire

More information

Publications of Dr. Kanhaiya Jha

Publications of Dr. Kanhaiya Jha Publications of Dr. Kanhaiya Jha REFEREED ARTICLES IN JOURNALS (National and International) (AMS MR # : American Mathematical Society Mathematics Review Number) (Zbl # : European Mathematical Society Zentralblatt

More information

[1] Anton, H., Elementary Linear Algebra with Applications, John Wiley & Sons Inc., 2004,

[1] Anton, H., Elementary Linear Algebra with Applications, John Wiley & Sons Inc., 2004, Bibliografía [1] Anton, H., Elementary Linear Algebra with Applications, John Wiley & Sons Inc., 2004, [2] Apostol, T. M., Análisis Matemático, Reverté, 1960. [3] Axler, S., Linear Algebra Done Right,

More information

AN APPLICATION OF THE DOUBLE SUMUDU TRANSFORM

AN APPLICATION OF THE DOUBLE SUMUDU TRANSFORM Applied Mathematical Sciences, Vol. 1, 27, no. 1, 31-39 AN APPLICATION OF THE DOUBLE SUMUDU TRANSFORM Jean M. Tchuenche 1 and Nyimua S. Mbare Mathematics Department, Uniersity of Dar es Salaam P.O. Box

More information

Multi-Term Linear Fractional Nabla Difference Equations with Constant Coefficients

Multi-Term Linear Fractional Nabla Difference Equations with Constant Coefficients International Journal of Difference Equations ISSN 0973-6069, Volume 0, Number, pp. 9 06 205 http://campus.mst.edu/ijde Multi-Term Linear Fractional Nabla Difference Equations with Constant Coefficients

More information

METHODS FOR SOLVING MATHEMATICAL PHYSICS PROBLEMS

METHODS FOR SOLVING MATHEMATICAL PHYSICS PROBLEMS METHODS FOR SOLVING MATHEMATICAL PHYSICS PROBLEMS V.I. Agoshkov, P.B. Dubovski, V.P. Shutyaev CAMBRIDGE INTERNATIONAL SCIENCE PUBLISHING Contents PREFACE 1. MAIN PROBLEMS OF MATHEMATICAL PHYSICS 1 Main

More information

A f = A f (x)dx, 55 M F ds = M F,T ds, 204 M F N dv n 1, 199 !, 197. M M F,N ds = M F ds, 199 (Δ,')! = '(Δ)!, 187

A f = A f (x)dx, 55 M F ds = M F,T ds, 204 M F N dv n 1, 199 !, 197. M M F,N ds = M F ds, 199 (Δ,')! = '(Δ)!, 187 References 1. T.M. Apostol; Mathematical Analysis, 2nd edition, Addison-Wesley Publishing Co., Reading, Mass. London Don Mills, Ont., 1974. 2. T.M. Apostol; Calculus Vol. 2: Multi-variable Calculus and

More information

Semester 3 MULTIVARIATE CALCULUS AND INTEGRAL TRANSFORMS

Semester 3 MULTIVARIATE CALCULUS AND INTEGRAL TRANSFORMS PC 11 Semester 3 MT03C11 MULTIVARIATE CALCULUS AND INTEGRAL TRANSFORMS Text 1: Tom APOSTOL, Mathematical Analysis, Second edition, Narosa Publishing House. Text 2: WALTER RUDIN, Principles of Mathematical

More information

A Legendre Computational Matrix Method for Solving High-Order Fractional Differential Equations

A Legendre Computational Matrix Method for Solving High-Order Fractional Differential Equations Mathematics A Legendre Computational Matrix Method for Solving High-Order Fractional Differential Equations Mohamed Meabed KHADER * and Ahmed Saied HENDY Department of Mathematics, Faculty of Science,

More information

Operators with Closed Range, Pseudo-Inverses, and Perturbation of Frames for a Subspace

Operators with Closed Range, Pseudo-Inverses, and Perturbation of Frames for a Subspace Canad. Math. Bull. Vol. 42 (1), 1999 pp. 37 45 Operators with Closed Range, Pseudo-Inverses, and Perturbation of Frames for a Subspace Ole Christensen Abstract. Recent work of Ding and Huang shows that

More information

Introduction io Fourier-Finite Mellin Transforms

Introduction io Fourier-Finite Mellin Transforms Available online at www.scholarsresearchlibrary.com European Journal of Applied Engineering and Scientific Research, 2014, 3 (3):43-48 (http://scholarsresearchlibrary.com/archive.html) ISSN: 2278 0041

More information

Department of Mathematics and Statistics Faculty of Science Gurukula Kangri Vishwavidyalaya, Haridwar

Department of Mathematics and Statistics Faculty of Science Gurukula Kangri Vishwavidyalaya, Haridwar Department of Mathematics and Statistics Faculty of Science Gurukula Kangri Vishwavidyalaya, Haridwar Course Work for Ph. D. Mathematics Students Every student admitted in Mathematics Ph. D. program will

More information