Some identities on degenerate hyperbolic functions arising from $ p $-adic integrals on $ \mathbb{Z}

Some identities on degenerate hyperbolic functions arising from $ p $-adic integrals on $ \mathbb{Z}_p $

Published:2023 Issue:11 Volume:8 Page:25443-25453
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Kim Taekyun¹,Kim Hye Kyung²,Kim Dae San³

Affiliation:

1. Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea

2. Department of Mathematics Education, Daegu Catholic University, Gyeongsan 38430, Republic of Korea

3. Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea

Abstract

<abstract><p>The aim of this paper is to introduce several degenerate hyperbolic functions as degenerate versions of the hyperbolic functions, to evaluate Volkenborn and the fermionic $ p $-adic integrals of the degenerate hyperbolic cosine and the degenerate hyperbolic sine functions and to derive from them some identities involving the degenerate Bernoulli numbers, the degenerate Euler numbers and the Cauchy numbers of the first kind.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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