A STUDY ON q-ANALOGUES OF CATALAN-DAEHEE NUMBERS AND POLYNOMIALS

Abstract

Catalan-Daehee numbers and polynomials, generating functions of which can be expressed as p-adic Volkenborn integrals on Zp, were studied previously. The aim of this paper is to introduce q-analogues of the Catalan-Daehee numbers and polynomials with the help of p-adic q-integrals on Zp. We derive, among other things, some explicit expressions for the q-analogues of the Catalan-Daehee numbers and polynomials.