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

yuankui ma, TAEKYUN KIM, DAE SAN KIM, HYUNSEOK LEE

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.


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