As the new generalization of the two types of unipoly-Dedekind type DC sums, the two types of degenerate unipoly-Dedekind type DC sums are introduced, which are obtained from the unipoly-Dedekind type DC sums by replacing type 2 unipoly-Euler functions by type 2 degenerate unipoly-Euler functions and unipoly-Euler functions by degenerate unipoly-Euler functions. By using the definitions of unipoly functions, degenerate Stirling numbers of first kind and second kind, degenerate Genocchi polynomials and numbers and other polynomials and numbers, several combinatorial identities and properties of type 2 degenerate unipoly-Euler functions and degenerate unipoly-Euler functions are obtained. The two types of degenerate unipoly-Dedekind DC sums are shown to satisfy reciprocity relations. This is a joint work with Lingling Luo and Yuankui Ma.
