Research Articles

On certain models of Lie algebra Gp,q and Gauss hypergeometric function using an integral transformation, J. Indian Math. Soc., To appear. (co-author:: A.Kapoor).
On models of the Lie algebra K5 and Lauricella functions using an integral transformation. Miskolc Math. Notes. To appear. (co-author:: A.Kapoor).
On certain Kampe de Feriet like hypergeometric matrix functions, Asian-Eur. J. Math., 16, No. 5, 2023, 2350080, 26pp. .MR4574694 (co-author: R.Dwivedi).
Some extended hypergeometric matrix functions and their fractional calculus, Mathematics in Engineering, Science and Aerospace (MESA), 13, No.4, 2022, pp. 1131-1140. (co-authors: R.Dwivedi and A.Verma).
Infinite summation formulas of Srivastava's general triple hypergeometric function, Mathematics in Engineering, Science and Aerospace (MESA), 13, No.4, 2022, pp. 949-957. (co-author: A.Verma).
On the recursion formulas of Lauricella matrix functions, Mathematics in Engineering, Science and Aerospace (MESA), 13, No.1, 2022, pp. 107-142. (co-authors: R.Dwivedi and A.Verma).
On the recursion formulas for the matrix special functions of one and two variables, Mathematics in Engineering, Science and Aerospace (MESA), 12, No.2, 2021, pp. 549-562. (co-author: A.Verma).
Certain integral representations, transformation formulas and summation formulas related to Humbert matrix functions, Bull. Braz. Math. Soc. 52, 2021, pp. 213--239. (co-authors: B.Cekim, R.Dwivedi and A.Shehata).
Lie algebras of matrix difference differential operators and special matrix functions, Adv. in Appl. Math., 122, 2021, 102109, 19pp. MR4156051 (co-author: R.Dwivedi).
On the matrix versions of q-zeta function, q-digamma function and q-polygamma function, Asian-Eur. J. Math., 13, No. 8, 2020, 2050142, 12 pp. MR4153973 . (co-author: R.Dwivedi).
Some recursion formulas for q-Lauricella series, Afr. Mat., 31, No. 3-4, 2020, pp. 643–686. MR4098027 (co-author: A.Verma).
On q-special matrix functions using quantum algebraic techniques, Rep. Math. Phys., 85, No. 2, 2020, pp. 253-265. MR4088547 (co-author: R.Dwivedi).
A note on the Appell matrix functions, Quaest. Math. 43, No. 3, 2020, pp. 321-334. MR4080400 (co-author: R.Dwivedi).
On certain properties and expansions of zeta matrix function, digamma matrix function and polygamma matrix function, Quaest. Math., 43, No. 1, 2020, pp. 97-105. MR4058590 (co-author: R.Dwivedi).
On certain q-hypergeometric matrix functions of several variables and their matrix q-difference equations, J. Difference Equ. Appl., 25, No. 11, 2019, pp. 1531-1548. MR4039191 (co-author: R.Dwivedi).
Models of Lie algebra sl(2,C) and special matrix functions by means of a matrix integral transformation, J. Math. Anal. Appl., 473, No. 2, 2019, pp. 786-802. MR3912851 (co-author: R.Dwivedi).
Finite summation formulas of Srivastava's general triple hypergeometric function, Asian-Eur. J. Math., 12, No. 2, 2019, 1950020, 15 pp. MR3938537 (co-author: A.Verma).
On the basic hypergeometric matrix functions of two variables, Linear Multilinear Algebra, 67, No. 1, 2019, pp. 1-19. MR3885876 (co-author: R.Dwivedi).
On the hypergeometric matrix functions of several variables, J. Math. Phys., 59, 023505 (2018), 15pp. MR3763251 (co-author: R.Dwivedi).
On the hypergeometric matrix functions of two variables, Linear Multilinear Algebra, 66, No. 9, 2018, pp. 1819-1837. MR3825700 (co-author: R.Dwivedi).
Generalized incomplete Pochhammer symbols and their applications to hypergeometric functions, Kyungpook Math. J., 58, No. 1, 2018, pp. 67-79. MR3796018 (co-author: A.Verma).
Recursion Formulas for q-hypergeometric and q-Appell series, Commun. Korean Math. Soc., 33, No. 1, 2018, pp. 207-236. MR3761640 (co-author: A.Verma).
Recursion Formulas for the Srivastava-Daoust and related multivariable hypergeometric functions, Asian-Eur. J. Math., 9, No. 4, 2016, 1650081, 35 pp. MR3576172. (co-author: A.Verma).
nth-order q-derivatives of Srivastava's general triple q-hypergeometric series with respect to parameters, Kyungpook Math. J., 56, No. 3, 2016, pp. 911-925. MR3578775. (co-author: A.Verma).
On an extension of the generalized Pochhammer symbol and its applications to hypergeometric functions, Asian-Eur. J. Math., 9, No. 3, 2016, 1650064, 11 pp. MR3531882. (co-author: A.Verma).
Recursion formulas for Srivastava's general triple hypergeometric function, Asian-Eur. J. Math., 9, No. 3, 2016, 1650063, 17 pp. MR3531881. (co-author: A.Verma).
Recursion formulas for Exton's triple hypergeometric functions, Kyungpook Math. J., 56, No. 2, 2016, pp. 473-506. MR3520789. (co-author: A.Verma).
Recursion formulas for multivariable hypergeometric functions, Asian-Eur. J. Math., 8, No. 4, 2015, 1550082, 50 pp., MR3424157. (co-author: A.Verma).
Derivatives of Appell functions with respect to parameters, J. Inequal. Spec. Funct., 6, No. 3, 2015, 16 pp., MR3414626. (co-author: A.Verma).
nth-order q-derivatives of multivariable q-hypergeometric series with respect to parameters, Asian-Eur. J. Math., 7, No. 2, 2014, 1450019, 29 pp., MR3225084. (co-author: A.Verma).
On irreducible p,q-representations of Lie algebras G(0,1) and G(0,0), Math. Nachr., 286, Issue 4, 2013, pp. 392–401. MR3028783. (co-author: S.Yadav).
On models of irreducible p,q-representations of gl(2) and p,q-Mellin integral transformation, Math. Nachr., 284, Issue 14-15, 2011, pp. 1955-1966. MR 2012i:33031. (co-author: S.Yadav).
Weighted composition transformations and Lie group representations, 62, Ganita, 2011, pp. 27-34. (co-authors: RK Singh and VK Pandey).
On irreducible q-representations of the Lie algebra G(0,0), Ganita, 61, 2010, pp. 19-28. MR3185602.
On models of certain p,q-algebra representations: The p,q-algebra Up,q(su2), Contemp. Math., 456, 2008, pp. 175-187. MR 2009f:17025. (co-author: S.Yadav).
On models of certain p,q-algebra representations: The p,q-oscillator algebra, J. Math. Phys., 49, 2008, No. 5, 053504, 12pp. MR 2009c:81047. (co-author: S.Yadav).
On models of certain p,q-algebra representations: The quantum Euclidean algebra Ep,q(2), J. Math. Anal. Appl., 338, No. 2, 2008, pp. 1043-1053. MR 2009g:33022. (co-author: S.Yadav).
Representations of two parameter quantum algebras and p, q-special functions, J. Math. Anal. Appl., 335, No. 1, 2007, pp. 268-279. MR 2008f:33028. (co-author: S.Yadav).
On models of irreducible q-representations of the Lie algebra G(0,1), J. Math. Anal. Appl., 322, No. 2, 2006, pp. 1128-1139. MR 2007d:17012. (co-author: M. Sahai).
On models of q–representations of sl(2,C) and q–confluent hypergeometric functions, New Zealand J. Math., 33, 2004, pp. 165-180. MR 2005h:33043. (co-author: S. Srivastava).
On models of Lie algebra G(0,1) and Euler integral transformation, J. Indian Math. Soc., 71, 2004, pp. 195-205. MR 2007j:17012. (co-author: S.Srivastava).
Models of irreducible q–representations of sl(2,C) and generalized q–Lauricella functions, Indian J. Pure Appl Math., 35 (1), 2004, pp. 85-100. MR 2004k:33040. (co-author: S.Srivastava).
On irreducible p, q–representations of gl(2), J. Comput. Appl. Math., 160/1-2, 2003, pp. 271-281. MR 2004k:33039. (co-author: S.Srivastava).
On models of q–representations of sl(2) and q–Euler integral transformation, J. Indian Math. Soc., 70, 2003, pp. 73-85. MR 2008a:33023. (co-author: S.Srivastava).
On models of Lie algebra T3 and Euler integral transformation, J. Indian Math. Soc., 69, 2002, pp. 185-192. MR 2005c:44003. (co-author: S.Srivastava).
On models of Uq(sl(2)) and m–fold q–Euler integral transformation, J. Indian Math. Soc., 67, 2000, pp. 123-132. MR 2002d:33027.
On models of irreducible q–representations of sl(2) by means of fractional q–calculus, New Zealand J. Math., 28, 1999, pp. 237-249. MR 2002e:33031.
On models of Uq(sl(2)) and q–Appell functions using a q–integral transformation, Proc. Amer. Math. Soc., 127, 1999, pp. 3201-3213. MR 2000b:33014.
Symmetry methods and basic Lauricella functions, J. Indian Math. Soc., 65, 1998, pp. 13-25. MR 2001b:33026.
On models of Uq(sl(2)) and q–Euler integral transformation, Indian J. Pure Appl Math., 29 (8), 1998, pp. 819-827. MR 99h:33062.
Squeezed states and two parameter quantum groups, Mod. Phys. Lett. A, 13, No. 11, 1998, pp. 887–891. MR 99d:81056. (co-authors: R.S.Johal and R.K.Gupta).
On the classical limit of the generalized q-deformed SUq(2) and SUq(1,1) algebras, Mod. Phys. Lett. A, 13, No. 2, 1998, pp. 91–98. MR 99g:81090. (co-authors: R.S.Johal and R.K.Gupta).
q–Representations of Lie algebras G(a,b), J. Indian Math. Soc., 63, 1997, pp. 83-98. MR 99k:33058.
On certain models of irreducible representations of sl(2,C) and Euler integral transformation, Indian J. Pure Appl Math., 26 (12), 1995, pp. 1177-1189. MR 96k:17013.
Lie theory of hypergeometric function 3F2 by means of Euler transformation, J. Indian Math. Soc., 61, 1995, pp. 135-152. MR 98m:33040.
On models of the Lie algebra sl(2,C) and special functions, Bull. Calcutta Math. Soc., 85 (4), 1993, pp. 363-380. MR 96e:33032.
Lie theory of polynomials of the form FD via Mellin transformation. Indian J. Pure Appl Math., 22 (11), 1991, pp. 927-41. MR 93g:33013.
On models of irreducible unitary representations of compact Lie group SU(2) involving special functions, Indian J. Pure Appl. Math., 21 (12), 1990, pp. 1059-71. MR 92k:22024. (co-author: H.L.Manocha).

Papers communicated are not included

Articles in Books / Proceedings

Euler Integral transformation, its q-analogue and special functions using Lie theory and quantum theory, in Selected Topics in Special Functions, (Editors: R.P. Agarwal, H.L. Manocha and K. Srinivasa Rao), Allied Publishers, 2001, pp. 250-280.
q–Representations of sl(2) and q–special functions, Proceedings of the Institutional and Instructional Programme on Quantum Groups and their Applications, Publications of the Ramanujan Institute – Number 10, 2002, pp. 280-292.
Weighted Substitution Operators on L^p(R) and Wavelet Theory, Mathematics Newsletter, Vol. 21 No.1, June 2011. (co-authors: RK Singh and VK Pandey).
Vedic Ganita -- Ek Parichaya, in Vedic Jnana--Vijnana, (Editor: MK Agarwal), Academic Foundation, 2022, pp. 285-305. (co-author: R.\,Dwivedi).

Articles on arXiv.org

On the recursion formulas for the matrix special functions of one and two variables, arXiv:2003.07522 [math.CA], (co-author: A.Verma).
Infinite summation formulas of Srivastava's general triple hypergeometric function, arXiv:2003.07528 [math.CA], (co-author: A.Verma).
Some extended hypergeometric matrix functions and their fractional calculus, arXiv:2011.00772 [math.CA], (co-authors: A.Verma, R.Dwivedi).
A note on the Lauricella matrix functions, arXiv:2105.00438 [math.CA], (co-author: R.Dwivedi).
On the recursion formulas of Lauricella matrix functions, arXiv:2105.07460 [math.CA], (co-authors: A.Verma, R.Dwivedi).
On the discrete analogues of Appell function F1, arXiv:2401.05677 [math.CA], (co-author: R.Dwivedi).
On the discrete analogues of Appell function F2, arXiv:2401.06501 [math.CA], (co-author: R.Dwivedi).
On the discrete analogues of Appell function F3, arXiv:2401.07509 [math.CA], (co-author: R.Dwivedi).
On the discrete analogues of Appell function F4, arXiv:2402.18931 [math.CA], (co-author: R.Dwivedi).

Letters to the Editor

Add Impact Factors to Journal Backlog Report, Notices of the AMS, Vol. 65, No. 2, 2018.