Reciprocity of degenerate poly-Dedekind-type DC sums

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...

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Bibliographic Details
Published in:Applied mathematics in science and engineering 2023-12, Vol.31 (1)
Main Authors: Luo, Lingling, Ma, Yuankui, Zhang, Wenpeng, Kim, Taekyun
Format: Article
Language:English
Subjects:
degenerate poly-dedekind dc sums
degenerate poly-euler polynomials
degenerate polylogarithm function
Mathematical analysis
Polynomials
Reciprocity
Sums
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Summary: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.
ISSN:2769-0911
2769-0911
DOI:10.1080/27690911.2023.2196422