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

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-03-04 DOI:10.3934/math.20231298

Taekyun Kim, Dae San Kim, H. Kim

引用次数: 0

Abstract

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.

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$\mathbb上$p$-dic积分引起的退化双曲函数的一些恒等式{Z}_p$

本文的目的是引入几个退化双曲函数作为双曲函数的退化形式，评估退化双曲余弦和退化双曲正弦函数的Volkenborn积分和Fermion$p$-dic积分，并从中导出一些涉及退化伯努利数的恒等式，退化欧拉数和第一类柯西数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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