Volume 17, Issue 2 (9-2022)
IJMSI 2022, 17(2): 171-189 |
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A. Khan W, Haroon H. Higher Order Degenerate Hermite-Bernoulli Polynomials Arising from $p$-Adic Integrals on $mathbb{Z}_p$. IJMSI 2022; 17 (2) :171-189
URL: http://ijmsi.ir/article-1-1455-en.html
URL: http://ijmsi.ir/article-1-1455-en.html
Abstract:
Our principal interest in this paper is to study higher order degenerate Hermite-Bernoulli polynomials arising from multivariate $p$-adic invariant integrals on $mathbb{Z}_p$. 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.
Keywords: Multivariate $p$-adic invariant integral on $mathbb{Z}_p$, Degenerate Bernoulli polynomials, Hermite polynomials.
Type of Study: Research paper |
Subject:
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