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

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

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