A Note on <i>q</i>‐Analogues of Degenerate Catalan‐Daehee Numbers and Polynomials

Abstract

Recently, Yuankui et al. (Filomat J. 35 (5):17, 2022) studied q ‐analogues of Catalan‐Daehee numbers and polynomials by making use of p ‐adic q ‐integrals on ℤ p . Motivated by this study, we consider q ‐analogues of degenerate Catalan‐Daehee numbers and polynomials with the help of p ‐adic q ‐integrals on ℤ p . By using their generating function, we derive some new relations including the degenerate Stirling numbers of the first and second kinds. Moreover, we also derive some new identities and properties of this type of polynomials and numbers.

Topics & Concepts