Some Explicit Expressions for Twisted Catalan-Daehee Numbers

Abstract

In this paper, the author considers the twisted Catalan numbers and the twisted Catalan-Daehee numbers, which are arisen from p-adic fermionic integrals and p-adic invariant integrals, respectively. We give some explicit identities and properties for those twisted numbers and polynomials by using p-adic integrals or generating functions.

Keywords

• twisted Catalan numbers
• twisted Catalan-Daehee numbers
• <i>p</i>-adic fermionic integrals
• <i>p</i>-adic invariant integrals