TY - JOUR
JF - IJMSI
JO - IJMSI
VL - 17
IS - 2
PY - 2022
Y1 - 2022/9/01
TI - Higher Order Degenerate Hermite-Bernoulli Polynomials Arising from $p$-Adic Integrals on $mathbb{Z}_p$
TT -
N2 - 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.
SP - 171
EP - 189
AU - A. Khan, W.
AU - Haroon, H.
AD - Department of Mathematics, Faculty of Science, Integral University-226026, Lucknow, India
KW - Multivariate $p$-adic invariant integral on $mathbb{Z}_p$
KW - Degenerate Bernoulli polynomials
KW - Hermite polynomials.
UR - http://ijmsi.ir/article-1-1455-en.html
DO - 10.52547/ijmsi.17.2.171
ER -