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

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

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Bibliographic Details
Main Authors: Taekyun Kim, Hye Kyung Kim, Dae San Kim
Format: Article
Language:English
Published: AIMS Press 2023-08-01
Series:AIMS Mathematics
Subjects:
volkenborn integral
fermionic $ p $-adic integral
degenerate hyperbolic functions
degenerate bernoulli numbers
degenerate euler numbers
cauchy numbers of the first kind
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231298?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20231298?viewType=HTML

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