A note on the p-adic gamma function and q-changhee polynomials

Abstract

In the present work, we consider the fermionic p-adic q-integral of p-adic gamma function and the derivative of p-adic gamma function by using their Mahler expansions. The relationship between the p-adic gamma function and q-Changhee numbers is obtained. A new representation is given for the p-adic Euler constant. Also, we study on the relationship between q-Changhee polynomials and p-adic Euler constant using the fermionic p-adic q-integral techniques the idea that the q-Changhee polynomial.