An invariant p-adic q-integral associated with q-Euler numbers and polynomials

Abstract

The purpose of this paper is to consider q-Euler numbers and polynomials which are q-extensions of ordinary Euler numbers and polynomials by the computations of the p-adic q-integrals due to T. Kim, cf. [1, These sums help us to study the relationships between p-adic q-integrals and nonarchimedean combinatorial analysis.