On the p-adic Gamma Function and Changhee Polynomials

Özge Çolakoğlu Havare^1, and Hamza Menken¹

¹Mersin University, Science and Arts Faculty, Mathematics Department, 33343, Mersin, Turkey

Cite this paper:
Özge Çolakoğlu Havare and Hamza Menken. On the p-adic Gamma Function and Changhee Polynomials. Turkish Journal of Analysis and Number Theory. 2018; 6(4):120-123. doi: 10.12691/tjant-6-4-3

Abstract

The p-adic gamma function is considered to obtain its derivative and to evaluate its the fermionic p-adic integral. Furthermore the relationship between the p-adic gamma function and Changhee polynomials and also between the Changhee polynomials and p-adic Euler constants is obtained. In addition, the p-adic Euler constants are expressed in term of Mahler coefficients of the p-adic gamma function.

Keywords:
p-adic number p-adic gamma function the fermionic p-adic integral Mahler coefficients p-adic Euler constant Changhee Polynomials

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