A Note on Higher Order Degenerate Changhee–Genocchi Numbers and Polynomials of the Second Kind

Abstract

In this paper, we consider the higher order degenerate Changhee–Genocchi polynomials of the second kind by using generating functions and the Riordan matrix methods. At the same time, we give some properties of the higher order degenerate Changhee–Genocchi polynomials of the second kind. In addition, we establish some new equalities involving the higher order degenerate Changhee–Genocchi polynomials of the second kind, the generalized Bell polynomials, higher order Changhee polynomials, the higher order degenerate Daehee polynomials of the second kind, Lah numbers and Stirling numbers, etc.

Keywords

• the higher order degenerate Euler polynomials
• the higher orderdegenerate Genocchi polynomials
• the higher order degenerate Changhee polynomials of the second kind
• the higher orderdegenerate Daehee polynomials of the second kind
• Stirling numbers
• Lah numbers