Some Properties of the p-Adic Beta Function

Authors

  • Hamza Menken Mersin University
  • Ozge Colakoglu Mersin University

Keywords:

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

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.

Author Biography

  • Ozge Colakoglu, Mersin University
    Mathematics Department

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Published

2015-04-30

Issue

Vol. 8 No. 2: (April 2015)

Section

p-adic Analysis

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How to Cite

Some Properties of the p-Adic Beta Function. (2015). European Journal of Pure and Applied Mathematics, 8(2), 214-231. https://www.ejpam.com/index.php/ejpam/article/view/2347