A Note on Modified Degenerate Changhee–Genocchi Polynomials of the Second Kind

Abstract

In this study, we introduce modified degenerate Changhee–Genocchi polynomials of the second kind, and analyze some properties by providing several relations and applications. We first attain diverse relations and formulas covering addition formulas, recurrence rules, implicit summation formulas, and relations with the earlier polynomials in the literature. By using their generating function, we derive some new relations, including the Stirling numbers of the first and second kinds. Moreover, we introduce modified higher-order degenerate Changhee–Genocchi polynomials of the second kind. We also derive some new identities and properties of this type of polynomials.

Keywords

• Genocchi polynomials and numbers
• modified degenerate Changhee–Genocchi polynomials
• higher-order modified degenerate Changhee–Genocchi polynomials and numbers