A study on q-analogues of Catalan-Daehee numbers and polynomials

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 qanalogues 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.