Reciprocity of degenerate poly-Dedekind-type DC sums

Abstract

Dedekind-type DC sums and their properties are defined in terms of Euler functions. Ma et al. recently introduced poly-Dedekind-type DC sums and demonstrated that they satisfy a reciprocity relation. In this paper, we introduce the degenerate poly-Euler polynomials and numbers, and we also consider the reciprocity relations of degenerate poly-Dedekind-type DC sums. Equivalently, several properties and identities of degenerate poly-Euler functions are obtained.

Keywords

• degenerate poly-dedekind dc sums
• degenerate polylogarithm function
• degenerate poly-euler polynomials