Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2018; 33(2): 651-669

Online first article March 22, 2018      Printed April 30, 2018

https://doi.org/10.4134/CKMS.c170217

Copyright © The Korean Mathematical Society.

Degenerate Bernoulli numbers and polynomials associated with degenerate Hermite polynomials

Hiba Haroon, Waseem Ahmad Khan

Faculty of Science, Integral University, Integral University

Abstract

The article is themed to classify new (fully) degenerate \linebreak Hermite-Bernoulli polynomials with formulation in terms of $p$-adic \linebreak fermionic integrals on $\mathbb{Z}_p$. The entire paper is designed to illustrate new properties in association with Daehee polynomials in a consolidated and generalized form.

Keywords: Hermite polynomials, degenerate Bernoulli polynomials, degenerate Hermite-Bernoulli polynomials, $p$-adic integral

MSC numbers: 11S80, 11B68, 05A30