On weighted q-Daehee polynomials with their applications

Abstract

In this paper, we first consider a generalization of Kim's p-adic q-integral on Z p including parameters α and β. By using this integral, we introduce the q-Daehee polynomials and numbers with weight α,β. Then, we obtain some interesting relationships and identities for these numbers and polynomials. We also derive some correlations among q-Daehee polynomials with weight α,β q-Bernoulli polynomials with weight α,β and Stirling numbers of second kind