Multifarious correlations for p-adic gamma function and weighted q-Daehee polynomials

Abstract

Diverse relations and identities for p-adic gamma function and p- adic Euler constant by means of weighted p-adic q-integral on pZ and Mahler expansion of the function are investigated. Then several correlations and formulas including the p-adic gamma function, weighted q-Daehee polynomials and weighted q-Daehee polynomials of the second kind are derived. An intriguing representation of the p-adic Euler constant via the weighted q-Daehee polynomials and numbers is also provided.