Curriculum Vitae NABIULLAH KHAN Department of Applied Mathematics Z.H.College of Engg.& Tech. Aligarh Muslim University Aligarh 202002, U.P. India. E-mail: nukhanmath@gmail.com nabi_khan1@rediffmail.com Contact No.: +919412596662 ----------------------------------------------------------------------------------------------------------------------------- ----- CURRENT POSITION: Associate Professor, Department of Applied Mathematics, Aligarh Muslim University, Aligarh, India ACADEMIC QUALICATION: Ph. D., Mathematics, Aligarh Muslim University, Aligarh, India, 2002. M. Phil, Mathematics, Aligarh Muslim University, Aligarh, India, 1998. Master of Science, Mathematics, first division Aligarh Muslim University, Aligarh India, 1996 Bachelor of Science, Mathematics and Physics, first division Rohailkhand University, Bareilly, India, 1993. Ph.D. Topic : On certain class of generating functions involving generalized polynomials. M. Phil. Topic: Lie theory and generalized Bessel functions. Guide Name :Professor M.A. Pathan RESEARCH INTERESTS: Special Functions Lie Theory TEACHING EXPERIENCE: 14 Years 7, January Till Date Associate Professor, Department of Applied Mathematics, Z. H. College of Engg. & Technology, Aligarh Muslim University, Aligarh, India. I7, March 2009 6, January, 2015 Assistant Professor/Lecture, Department of Applied Mathematics, Z. H. College of Engg. & Technology, Aligarh Muslim University, Aligarh, India. 03-October 2003-16 March 2009, Lecturer, Department of Mathematics, Aligarh Muslim University, Aligarh, India.
CONTRIBUTION IN TEACHING TO OTHER DEPARTMENTS: Teaching Mathematics to B.Sc.(Indus. Chemistry) Students in the Department of Chemistry for the last five academic session (2007-2008 to 2012-2013). Teaching Mathematics to PG Diploma in Hydrogeology Students in the Department of Geology for the academic session 2008-2009, 2009-2010. Taught Biomathematics to M. Sc. students in the centre of Wild Life Sciences and Ornithology for the academic session 1997-1998 as research scholar. COURSES TAUGHT: Differential Equations, Calculus, Advanced Calculus, Co - ordinate Geometry, Mechanics, Matrix, Numerical Analysis, Applied Mathematics, Higher Mathematics. RESEARCH EXPERENCE: 14 years AWARDS / FELLOWSHIPS: Recipient of ISCA Best poster presentation award by Indian Science Congress Association, 2005. Junior Research Fellowship (JRF) under university fellowship scheme during M. Phil. Senior Research Fellowship (SRF) under university fellowship scheme during Ph.D. PUBLICATIONS: Published : 47 Accepted in Journals: 05 (Annex I) Communicated in Journal: 12 INVITED TALKS AND CONFERENCE PRESENTATION : 24 (Annex - II) PARTICIPATION IN CONFERENCES/SYMPOSIUMS : 13 (Annex - III) WORKSHOP/SHORT TERM COURSES : 06 (Annex- - IV) RESEARCH GUIDANCE : 04 (Annex-V) MEMBERSHIPS OF SOCITIES Society for Special Functions and Their Application (SSFA) Indian Mathematical Society (IMS) Indian Science Congress Association (ISCA) 2002-2003, 2005-2006 Indian Society of Mathematics and Mathematical Sciences (ISMAMS).
REVIEWER: Boletin de la Sociedad Matematica Mexicana Communications of Korean Mathematical Society Indian Journal of Pure and Applied Mathematics Proc. Indian national science academy. New Trends in Mathematical Sciences Honam Mathematical Journal CONTRIBUTION TO THE CORPORATE LIFE OF THE A.M.U. Warden Allama Iqbal Hall : August 26, 2004 - July 22, 2006 : September1, 2008 - April 30, 2013 Assistant Proctor : May1, 2013 May. 31,2015 Assistant D.S.W : July 4 2016 till date Assistant Superintendent of Examination at Z. H. College of Engg. & Tech. Centre for ( 2010-2011, 2011-2012 & 2012-2013) Elected as Member of AMU Court. REFRENCES: 1. Professor M.A. PATHAN Department of Mathematics A.M.U. Aligarh 202002, India. Mobile No.: + 91-8979135405 Email: mapathan@gmail.com 2. Professor Merajuddin Department of Applied Mathematics, AMU, Aligarh. Mobile No.: +91-9411209009 Email: meraj1957@rediffmail.com 3. Professor R.Y. Denis, Department of Mathematics D.D.U.,University, Gorakhpur- 2733009,India Mobile No.: +91 9336421120 Email : ddry@redifmail.com
PERSONAL: Father s Name Late. Wasiullah Khan Date of Birth 17 June, 1972 Sex Male Marital Status Married Nationality Indian Languages English, Hindi, Urdu Passport No. F-9141568 Pan No. ANHPK0619F Place: Aligarh (Dr. Nabiullah Khan) PUBLICATIONS: (Annex-I) A new generalization of Apostol-type Laguerre Genocchi polynomials, C. R. Acad. Sci. Paris, Ser. I 355 (2017) 607 617 (with T.Usman and J.Choi). Generating functions for Legendre-Based Poly-Bernoulli numbers and polynomials, Honam Mathematical J. Vol. 39 (2017), No. 2, 217 231 (with T. Usman and M. Aman). A new class of Laguerre Poly-Bernoulli numbers and polynomials, Advanced Studies in Contemporary Mathematics, Vol. 27 (2017), No. 2, 229 241 (with T. Usman). Some transformations and generating relations of multivariable hypergeometric functions, Palestine Journal of Mathematics, Vol. 6(Special Issue: II) (2017), 165-173. (with M.Ghayasuddin). On certain mixed generating functions of Jacobi polynomials, Palestine Journal of Mathematics, Vol.6, no.2(2017), 585-590(with T.Usman). Certain generating function of Hermite-Bernoulli-Laguerre polynomials, Far East Journal Of Mathematical Sciences, Vol.101, no.4(2017), 893-908(with T.Usman and J.Choi). Some unified integrals associated with Whittaker function, Journal of Fractional Calculus and Applications Vol. 9(1) Jan. 2018, pp. 153-159. (with M. Ghayasuddin). Symmetry identities for generalized Hermite based Apostol-Euler and Apostol-Genocchi polynomials, Journal of Fractional Calculus and Applications, Vol.8, no.1(2017), 173-185(with W.A.Khan and Sarvat Zia) Remarks on extended Gauss hypergeometric functions, Acta Universitatis Apulensis, Vol.49, (2017), 1-13 (with M.Ghayasuddin). A multiindex multivariable generalization of the Voigt function, Far East Journal of Mathematical Sciences, Vol.101, No.6 (2017), 1167-1181(with M.Ghayasuddin and J.Choi) Some new results associated with the Bessel-Struve kernel function, Acta Universitatis Apulensis, Vol.48 (2017), 89-101(with S.W.Khan and M.Ghayasuddin). Integral transform involving Bessel s function, New Trends in Mathematical Sciences, Vol. 5, No. 2, 168-172 (2017) (wih T.Kashmin).
A New Class of Laguerre-Based Poly-Euler and Multi Poly-Euler Polynomials, J. Ana. Num. Theor. Vol. 4, No. 2, 113-120 (2016), (with T. Usman). A new class of Laguerre-based generalized Apostol polynomials, Fasciculi Mathematici, Vol.57 (2016), 67-89 (with T.Usman) Some integrals associated with multiindex Mittag-Leffler functions, Journal of Applied Mathematics and Informatics, Vol.34, No.3-4(2016), 249-255 (with T. Usman and M. Ghayasuddin). On certain integral formulas involving the product of Bessel function and Jacobi polynomial, Tamkang Journal of Mathematics, Vol.47, No.3 (2016), 339-349 (with M. Ghayasuddin and T. Usman). Result concerning the analysis of integral transforms, Global Journal of Advanced Research on Classical and Modern Geometries, Vol.5, No.2 (2016), 104-112 (with M. Ghayasuddin and T. Usman). A note on integral transforms associated with Humbert s confluent hypergeometric function, Electronic Journal of Mathematical Analysis and Applications, Vol.4, No. 2 (2016), 259-265 (with M. Ghayasuddin and T. Usman). On integral operator involving Mittag-Leffler function, Journal of Ramanujan Society of Mathematics and Mathematical Sciences, Vol.5, No.1 (2016), 147-154 (with M. Ghayasuddin,Waseem A. Khan and Sarvat Zia). A note on generalized extended Whittaker function, Honam Mathematical Journal Vol.38, No.2 (2016), 325-335 (with M. Ghayasuddin). A new class of integral formulas associated with generalized Bessel functions, Sohag Journal of Mathematics, Vol. 3, No.2, 1-4, (2016) (with M. Ghayasuddin). Some integrals for the generalized Bessel-Maitland functions, Electronic Journal of Mathematical Analysis and Applications, Vol. 4 (2), 139-149, (2016) (with T. Kashmin). A unified double integral associated with Whittaker function, Journal of Nonlinear System and Applications, 21-24, (2016) (with T. Usman and M. Ghayasuddin). Evaluation of integrals associated with multiple (multiindex) Mittag-leffler function, Global Journal of Advanced Research on Classical and Modern Geometries, Vol. 5, Issue 1, 33-45, (2016) (with T. Usman and M. Ghayasuddin). Study of the unified double integral associated with generalized Bessel-Maitland function, Pure and Applied Mathematics Letters, 15-19, (2016) (with M. Ghayasuddin). A new class of unified integrals formulas associated with Whittaker functions, New Trends in Mathematical Sciences 4, 1, 160-167 (2016) (with T. Usman and M. Ghayasuddin). On infinite series of three variables involving Whittaker and Bessel functions, Palestine Journal of Mathematics, Vol. 5(1) 185-190, (2016) (with T. Kashmin). A unified presentation of a class of generalized Humbert s polynomialsin two variables, Romai Journal of Mathematics, Vol. 11, No. 2, 185-199, (2015) (with M.A.Pathan). Generalization of extended Appell s and Lauricella s hypergeometric functions, Honam Mathematical Journal 37, 1, (2015), 113-126. (with M. Ghayasuddin). A generalization of Voigt function involving generalized Whittaker and Bessel functions, Palestine Journal of Mathematics, Vol 4(2), 313-318, (2015). (with M. Kamarujjama and M. Ghayasuddin).
Generalized extended Whittaker function and its properties, Applied Mathematical Sciences Vol.9, 131 (2015), 6529-6541.(with J.Choi and M. Ghayasuddin). Certain unified integral involving generalized Bessel-Maitland function, South East J. Math. and Math. Sci. vol. 11, 2, 27-36, (2015) (with M. Ghayasuddin, Waseem.A.Khan and Sarvat Zia). Some transformations of multiple hypergeometric series of Lauricella s function of n- variables, Journal of physical sciences and applications, 5(1) 2015, 82-86 (with T. Kashmin). Transformation of Whittaker functions of three variables, Journal of Ramanujans Society of Mathematics and Mathematical Sciences, Vol.4 1 (2015), 01-08. (with T. Kashmin). A note on Hermite poly-bernoulli numbers and polynomials of the second kind, Turkish Journal of Analysis and Number Theory Vol. 3, 5 (2015) 120-125. (with Waseem.A.Khan and Sarvat Zia) Certain new integral formulas involving generalized multiple (multiindex) Mittag-Leffler functions, Ganita Sandesh, Vol.28, No1&2(2014),33-42 (with T. Usman and M. Ghayasuddin). On some series representations of Voigt functions, International journal of special functions and applications, vol.2 No.1 (2014), 13-19. (M. Kamarujjama and T. Kashmin) Some transformation of hypergeometric series of two and three variables, Karpagam (IJAM) International Journal of Applied mathematics, vol.3 No. 2, (2013), 635-642. (withwaseem A. khan and M. Kamarujjama ). New results concerning the Analysis of Voigt functions, American journal of mathematics and mathematical sciences (AJMMS) 1,No.1, (2012),23-28.(with M.Kamarujjama and T Kashmin) Some multiple generating functions involving Mittag-Lefler s functions, International journal of engineering science and technology, v.36(2011),220-225 (with M. Kamarujjama and Waseem A. khan) Some multivariable Gaussian hypergeometric extension of Preecee theorem, Anziam, J. 48 (2006), 143-150. (with M.I.Qureshi, M. Sadiq Khan and M.A.Pathan) Certain generating functions involving multivariable hypergeometric polynomials, Proc. of seventh. Int. conf. SSFA, Vol. 7, (2006), 101-109. A new class of generating functions for the product of Laguerre polynomials, South East J. Math. and Math. Sci. Vol.32 (2005), 65-70. Certain generating function involving the product of Jacobi polynomials, Italian Journal of Pure and Applied Mathematics, 15 (2004), 9-20.(with M.A.Pathan) A new class of generating functions associated with generalized hypergeometric polynomials, J. Math. Anal. Appli. 285 (2003), 642-650. (with M.A.Pathan and M.I.Qureshi) Some bilateral generating functions involving Gegenbauer polynomials, Integral Transform and Special Functions, Vol. 14, 6 (2003), 531-535. (with M.I.Qureshi and M.A.Pathan) Some multivariable bilateral generating relations involving Jacobi polynomials,riv. Mat.Univ.Parma, (6) 4 (2001), 229-244. (with M.A.Pathan and M.I.Qureshi)
Multi Gaussian hypergeometric formula associated with Preecee results, Proc. Int. Conf. SSFA, Vol. 2 (2001), 87-92. (with M.I.Qureshi and M.A.Pathan) A theorem on mixed generating functions, Math. Sci. Res. Hotline, 5 (5), (2001), 25-33. (with M.A.Pathan and M.G.BinSaad). ACCEPTED IN JOURNALS: Integral transform and generating functions associated with generalize Horn s function, South East Asian Bulletin of Mathematics (with Waseem A. khan and M. Kamarujjama). Integral involving the product of three Whittaker functions, Advances in Pure Mathematics (With T. Kashmin). Certain Properties of generalized K-Mittag Leffler function, Italian Journal of Pure and Applied Mathematics (2017), (with K.S.Nisar, W.A.Khan and M. Ghayasuddin). New presentations of the generalized Voigt functions with different parameters, South East Asian Bulletin of Mathematics(2016) (with M.Ghayasuddin and T.Usman) Study of integral transforms associated with generalized Bessel function, Italian Journal of Pure and Applied Mathematics (with M. Ghayasuddin, Waseem.A.Khan and Sarvat Zia). COMMUNICATED IN JOURNALS (Under Review): Some Euler integrals involving the product of Bessel function and Jacobi polynomials, (with W.A.Khan, M.Ghayasuddin and Sarvat Zia) Integral transform involving Whittaker function (with W.A.Khan, M.Ghayasuddin and Sarvat Zia) A new generalization of confluent hypergeometric function and Whittaker function (with M.Ghyasuddin and T.Usman) A new extension of Bessel-Maitland function and its properties (with W.A.Khan and M.Ghayasuddin) Certain new generating relations for generalized Mittag-Leffler s function, (with M.Ghayasuddin and M.Shadab) Study of a new extended Voigt function, (with M.Ghayasuddin and W.A.Khan) A note on new triple integral transform, (with M. Ghayasuddin). Certain new extention of the Voigt function, (with J. Choi and M. Ghayasuddin) Reduction formula associated with Whittaker function, (with M.Kamarujjama and T Kashmin). Generating functions associated with the product of Gegenbauer polynomials, (with T. Kashmin). Partly bilateral and partly unilateral generating functions of generalized Rice polynomials, (with T. Kashmin) Certain integral formulas associated with Mittag-Leffler function (with M. Ghayasuddin, Waseem.A.Khan and Sarvat Zia).
INVITED TALKS AND CONFERENCE PRESENTATIONS: (Annex-II) A New class of Laguerre poly Genocchi polynomials, International Conference on Special Functions and their Applications (ICSFA-2017), and Symposium on Applications of Mathematical Sciences in Engineering problems, Department of Mathematics, Govt. College of Engineering and Technology, Bikaner, Rajasthan, 02-04 November, 2017. Some transformations and generating relations of multivariable hypergeometric functions, International Conference on Special Functions and their Applications (ICSFA- 2016), Department of Applied Sciences and Humanities, Jamia Millia Islamia, New Delhi, 09-11 September, 2016. Generating function of the Hermite-Bernoulli-Laguerre polynomials involving bilateral series, The 29 th International Conference of Jangjeon Mathematical Society on Number Theory, Special Functions and its Applications, Department of Mathematics, Pondicherry University, Puducherry, 8-10 August, 2016. Certain new integral formulas associated with multiple (multiindex) Mittag-Leffler function, 2 nd International Conference on Pure and Applied Sciences (ICPAS-2016), Yildiz Technical University, Istanbul, Turkey, 01-05 June, 2016. A new class of unified integral formulas associated with Whittaker functions, International Conference on Recent Advances in Mathematical Biology, Analysis and its Applications (ICMBAA-2015), Department of Applied Mathematics, Aligarh Muslim University, Aligarh, 4-6 June, 2015. Integral transforms involving Bessel functions, International Conference on special functions and their applications (ICSFA-2014), School of Mathematics and Computer applications, Thapar University Patiala, 16-18 October, 2014. Integral transforms involving Bessel functions of two variables, National conference on mathematical and computational modeling (MCM-2013), Department of Mathematics, Dr. B. R. Ambedker University, Khandari campus, Agra, 24-26 May, 2013. Attend and delivered a talk on unified presentation of a class of generalized Humbert polynomials in the workshop on special functions and applications, Department of Mathematics, King Saud University, Riyadh, Saudi Arabia, 20-21 feb. 2013. Generating functions associated with the product of generalized polynomials, International conference on Special Functions and their Applications (SSFA), Department of Applied Mathematics & Humanities, S.V.N.I.T. Surat, 27-29 June, 2012. Some transformation of hypergeometric series of two and three variables, National conference on Ramanujan s work in the field of hypergeometric series and its Applications, Deptt. of Mathematics, T.D.P.G. college Jaunpur, 4-6, December, 2011. Some multiple generating functions involving Mittag - Leffler s functions, International conference on Analysis and its Applications, Department of Mathematics, A.M.U. Aligarh November 19-21, 2011. Reduction formulae associated with multiple hypergeometric functions, conference on special function and their applications and symposium on computational and Biological Mathematics, School of Mathematics and Allied Sciences, Jiwaji University, Gwalior, 21-23, June, 2010.
A new class of generating functions involving Sister-Celine polynomials, International conference on Recent Trends in Mathematics and its applications, Department of Mathematics, JamiaMilliaIslamia, New Delhi, 30-31, March, 2009. Some transformation and reduction formula associated with Preece result, Indian Society of Mathematics and Mathematical Sciences (ISMAMS), Gorakhpur, Feb.20-21, 2009. New class of generating functions involving generalized Rice polynomials, International Conference on Analysis and its Applications (ICAA-08), Department of Mathematics, A.M.U. Aligarh November3-5, 2008. A unified presentation of a class of generalized polynomial, National Conf. on Modern Applications of Mathematical Sciences, Indian Society of Math. & Math. Sci., Gorakhpur during Feb. 22-24, 2008. Some multivariable Gaussian hypergeometric extension of Preece theorem. National conference on Mathematics and Mathematical sciences, Prasad Institute of Technology, Jaunpur, Feb. 2-4, 2007. Some hypergeometric transformation formula involving Exton's functions, Annual conference of Indian Mathematical Society, Department of Mathematics and Computer Science, R.D. University, Jabalpur Dec. 27-30, 2006. Certain generating functions involving multivariable hypergeometric polynomials, International conference on Special Functions and their Applications (SSFA), Department of Mathematics, University of Pune, Pune during Feb. 21-23, 2006. A new class of generating functions for the product of Laguerre polynomials, 92 Annual session of Indian Science Congress, Nirma University of science and Technology, Ahmadabad, 3-7 January 2005. A new class of generating functions associated with generalized polynomials, Annual Conference of Special Functions and their Applications (SSFA), Lucknow, 8-10, Feb. 2004. Some generating functions of Laguerre polynomials, Annual Conference of Indian Society of Mathematics and Mathematical Sciences, Gorakhpur, Feb.28- Mar.1, 2003. Generating functions associated with Jacobi, Rice and Khandekar polynomials of several Variables, Annual Conference of Society for Special Functions and their Applications (SSFA) Department of Mathematics, University of Rajasthan, Jaipur, 20-22, Feb. 2003. Certain generating function involving the product of three Jacobi Polynomials, 89 Annual sessions of Indian Science Congress, University of Lucknow, Lucknow, 3-7 January, 2002. Multi Gaussian hypergeometric formula associated with Preece results, International Conference of Society for Special Functions and their Applications (SSFA) Institute of Development and Management, Lucknow, 2-4 February, 2001. Some bilateral generating functions involving Gegenbauer polynomials, Annual Conference of Indian Mathematical Society, Department of Mathematics, Aurangabad Marathwada University, Aurangabad, 19-22, December, 2000. Some multivariable bilateral generating relations involving Jacobi polynomials, International Conference on Analysis, Geometry and its Applications, Department of Mathematics, B.H.U., Varanasi, 20-24, August 2000.
A theorem on mixed generating functions, Annual Conference of Special Functions and their Applications (SSFA), Department of Mathematics and Statistics, J.N.V. University, Jodhpur 3-4, March, 2000. PARTICIPATION IN CONFERENCES / SYMPOSIUMS: (Annex III) International conference on Differential Geometry, Functional Analysis and its applications, Department of Mathematics, Jamia Millia Islamia, New Delhi, 8-10, September, 2012. National seminar on civil engineering, Vivekananda College of technology and management, Aligarh, 2 May 2012. International conference on Algebra and its applications (ICAA-10), Department of Mathematics, A.M.U., Aligarh, 20-22 February, 2010. VI th International Symposium on optimization and statistics, Department of Statistics and Operations Research, A.M.U., Aligarh, 29-31, Dec. 2008. 23 rd Annual Conf. of Ramanujan Math. Soc., Indian Institute of Tech. Kanpur, May 19-21, 2008. Annual Conference of Indian Society of Mathematics and Mathematical Sciences, on Mathematical Sciences and Techonological Innovation Diffusion, Gorakhpur, 16-18, March, 2007. 92nd Indian Science Congress by the Indian Science Congress Association, Nirma University of Science and Technology, Ahmadabad, 3-7, January, 2005. International Symposium on, Theory of Rings and Modules, Department of Mathematics, A.M.U. Aligarh, 7-8, May, 2003. Annual conference of Indian Mathematical Society, Department of Mathematics, Shivaji University, Kolhapur, 20-23, December, 2002. Conference on Emerging Trends in Mathematics Department of Mathematics, AMU, Aligarh,24-26, March, 2001. Recent Developments in Relativity and Allied Topics, Department of Mathematics, AMU, Aligarh, 30, August to 01, September 1999. Annual Conference of Indian Mathematical Society, Department of Mathematics and Statistics, APS University, Rewa, 20-23, December, 1999. Analysis and Allied Topics (AAT 98), Department of Mathematics, AMU, Aligarh, 27-29, August 1998.
WORKSHOP / SHORT TERM COURSE ATTENDED: (Annex IV) CXXII- Orientation programme, 21 September 16 October, 2012, Academic Staff College, A.M.U., Aligarh. Refresher Course: Environmental Studies May 01-19, 2012 Academic Staff College, A.M.U., Aligarh. Workshop on Transformation theory of ordinary and basic hypergeometric function, by Ministry of science and technology and Department of science and technology, organized by Indian society of mathematics and mathematical sciences, Feb.14-19, 2009. Attend Advanced Training in Mathematics for Lectures (ATML) on Functional Analysis supported by NBHM conducted by Indian Statistical Institute, Bangalore, June 02-13, 2008. Refresher Course: Subject refresher course in Mathematic November 18- December 08, 2007 Academic Staff College, A.M.U., Aligarh. Aligarh Summer University Course, on Theory of Rings and Module Department of Mathematics, A.M.U., Aligarh, October, 2000. RESEARCH-GUIDANCE: (Annex V) The following listed candidate guided for Ph.D. degree in the Department of Applied Mathematics, AMU Aligarh. 1. MsTarannum Kashmin, Ph.D. Topic: Study of certain hypergeometric and Voigt functions (Degree awarded on 02.06.2014). 2. Mr. Mohd. Ghayasuddin Ph.D. Topic: Certain integral transforms and special functions of Mathematical Physics (Degree awarded on 14.11.2015).
3. Mr. Talha Usman Ph.D. Topic: Certain multiple generating functions and integral transforms of Special functions (Degree awarded on 10.12.2016). 4. Mr. Shorab Wali Khan Ph.D. Topic: Certain integral transforms associated with some special functions (pursuing) 5. Mr. Mohd Aman Ph.D. Topic: A study of generalized polynomials and multivariable generating functions (pursuing)