Some Explicit Expressions for Twisted q-Analogues of Catalan Numbers and Polynomials

Abstract In this paper, the author considers the twisted q-analogues of Catalan numbers, which are arisen from the fermionic p-adic q-integrals. By using the fermionic p-adic q-integrals or generating functions, some explicit identities and properties for the twisted q-analogues of Catalan numbers and polynomials are given.