Mathematics, Applied Mathematics, Discrete Mathematics and Combinatorics
4
Scopus Publications
119
Scholar Citations
5
Scholar h-index
4
Scholar i10-index
Scopus Publications
Higher Order Degenerate Hermite-Bernoulli Polynomials Arising from p-Adic Integrals on Zp W. A. Khan, H. Haroon, , and Iranian Journal of Mathematical Sciences and Informatics, 2022 Our principal interest in this paper is to study higher order degenerate Hermite-Bernoulli polynomials arising from multivariate p-adic invariant integrals on Zp. We give interesting identities and properties of these polynomials that are derived using the generating functions and p-adic integral equations. Several familiar and new results are shown to follow as special cases. Some symmetry identities are also established.
Some expansions for a class of generalized Humbert matrix polynomials H. M. Srivastava, Waseem A. Khan, Hiba Haroon Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A Matematicas, 2019 The paper is an accomplishment of a new 3-variable 4-parameter generating function for Humbert matrix polynomials with an approach of unifying several classes of matrix valued polynomials using standard techniques of series manipulation. The results are contained in the form of explicit expression, hypergeometric matrix representation, generating functions and three additional expansions in nexus with Legendre, Hermite and Gegenbauer polynomials within discrete sections. A range of special cases is evenly traced that accounts due to the genuine wholesome generalization of such matrix polynomials.
Some symmetric identities for the generalized Bernoulli, Euler and Genocchi polynomials associated with Hermite polynomials Waseem A. Khan, Hiba Haroon Springerplus, 2016 In 2008, Liu and Wang established various symmetric identities for Bernoulli, Euler and Genocchi polynomials. In this paper, we extend these identities in a unified and generalized form to families of Hermite-Bernoulli, Euler and Genocchi polynomials. The procedure followed is that of generating functions. Some relevant connections of the general theory developed here with the results obtained earlier by Pathan and Khan are also pointed out.
RECENT SCHOLAR PUBLICATIONS
Higher order degenerate Hermite-Bernoulli polynomials arising from p-adic integrals on Zp WA Khan, H Haroon Iranian Journal of Mathematical Sciences and Informatics 17 (2), 171-189 , 2022 2022.0 Citations: 7
Some expansions for a class of generalized Humbert matrix polynomials HM Srivastava, WA Khan, H Haroon Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie … , 2019 2019.0 Citations: 13
On p-adic integral for generalized degenerate Hermite-Bernoulli polynomials attached to χ of Higher order WA Khan, H Haroon Honam Mathematical Journal 41 (1), 117-133 , 2019 2019.0 Citations: 3
ON p-ADIC INTEGRALS FOR DEGENERATE HERMITE-EULER NUMBERS AND POLYNOMIALS WA KHAN, H HAROON, IA KHAN The Annals of the University of Oradea. Economic Sciences 26 (2), 117–126 , 2018 2018.0
Degenerate Bernoulli numbers and polynomials associated with degenerate Hermite polynomials H Haroon, WA Khan Commun. Korean Math. Soc 33 (2), 651-669 , 2018 2018.0 Citations: 47
A new class of partially degenerate Hermite-Genocchi polynomials WA Khan, S Araci, M Acikgoz, H Haroon J. Nonlinear Sci. Appl 10 (9), 5072-5081 , 2017 2017.0 Citations: 17
A new class of generalized Laguerre-based poly-Bernoulli polynomials WA Khan, H Haroon, KS Nisar, T Kim Global Journal of Pure and Applied Mathematics 13 (8), 4175-4188 , 2017 2017.0 Citations: 3
Some symmetric identities for the generalized Bernoulli, Euler and Genocchi polynomials associated with Hermite polynomials WA Khan, H Haroon SpringerPlus 5 (1), 1920 , 2016 2016.0 Citations: 29
Multivariate Hermite Matrix Polynomials Properties Summations and Applications H Haroon Lucknow , 0
MOST CITED SCHOLAR PUBLICATIONS
Degenerate Bernoulli numbers and polynomials associated with degenerate Hermite polynomials H Haroon, WA Khan Commun. Korean Math. Soc 33 (2), 651-669 , 2018 2018.0 Citations: 47
Some symmetric identities for the generalized Bernoulli, Euler and Genocchi polynomials associated with Hermite polynomials WA Khan, H Haroon SpringerPlus 5 (1), 1920 , 2016 2016.0 Citations: 29
A new class of partially degenerate Hermite-Genocchi polynomials WA Khan, S Araci, M Acikgoz, H Haroon J. Nonlinear Sci. Appl 10 (9), 5072-5081 , 2017 2017.0 Citations: 17
Some expansions for a class of generalized Humbert matrix polynomials HM Srivastava, WA Khan, H Haroon Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie … , 2019 2019.0 Citations: 13
Higher order degenerate Hermite-Bernoulli polynomials arising from p-adic integrals on Zp WA Khan, H Haroon Iranian Journal of Mathematical Sciences and Informatics 17 (2), 171-189 , 2022 2022.0 Citations: 7
On p-adic integral for generalized degenerate Hermite-Bernoulli polynomials attached to χ of Higher order WA Khan, H Haroon Honam Mathematical Journal 41 (1), 117-133 , 2019 2019.0 Citations: 3
A new class of generalized Laguerre-based poly-Bernoulli polynomials WA Khan, H Haroon, KS Nisar, T Kim Global Journal of Pure and Applied Mathematics 13 (8), 4175-4188 , 2017 2017.0 Citations: 3
ON p-ADIC INTEGRALS FOR DEGENERATE HERMITE-EULER NUMBERS AND POLYNOMIALS WA KHAN, H HAROON, IA KHAN The Annals of the University of Oradea. Economic Sciences 26 (2), 117–126 , 2018 2018.0
Multivariate Hermite Matrix Polynomials Properties Summations and Applications H Haroon Lucknow , 0