Article citationsMore >>

S. Araci, E. Ağyüz, M. Acikgoz, On a q-analogue of some numbers and polynomials, J. Inequal. Appl. (2015) 2015: 19.

has been cited by the following article:

Article

On the p-adic Gamma Function and Changhee Polynomials

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


Turkish Journal of Analysis and Number Theory. 2018, Vol. 6 No. 4, 120-123
DOI: 10.12691/tjant-6-4-3
Copyright © 2018 Science and Education Publishing

Cite this paper:
Özge Çolakoğlu Havare, 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.

Correspondence to: Özge  Çolakoğlu Havare, Mersin University, Science and Arts Faculty, Mathematics Department, 33343, Mersin, Turkey. Email: ozgecolakoglu@mersin.edu.tr

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