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 $

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The aim of this paper radio birdman tshirt 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 iphone 14 price texas 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.