Some Properties of the p-Adic Beta Function

Hamza Menken, Özge Çolakoğlu

Abstract

In the present work we define a $p$-adic analogue of the classicalbeta function by using Y. Morita's $p$-adic gamma function. Weobtain some elementary properties of the $p$-adic beta function. Wegive some relations between the classical beta and the $p$-adic betafunctions at the values of natural numbers.

Keywords

p-adic number, p-adic gamma function, p-adic beta function

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