eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2018-08-04 6 4 120 123 10.12691/tjant-6-4-3 TJANT2018643 article ?zge ?olako?lu Havare ozgecolakoglu@mersin.edu.tr 1 Hamza Menken 1 Mersin University, Science and Arts Faculty, Mathematics Department, 33343, Mersin, Turkey 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. http://pubs.sciepub.com/tjant/6/4/3/tjant-6-4-3.pdf p-adic number p-adic gamma function the fermionic p-adic integral Mahler coefficients p-adic Euler constant Changhee Polynomials