Reciprocity of degenerate poly-Dedekind-type DC sums. Issue 1 (31st December 2023)

• Record Type: Journal Article
• Authors: Luo, Lingling; Ma, Yuankui; Zhang, Wenpeng; Kim, Taekyun
• Is Part Of: Applied mathematics in science and engineering. Volume 31:Issue 1(2023)
• Publication Date: 2023-12-31
• Subjects: degenerate poly-Dedekind DC sums -- degenerate polylogarithm function -- degenerate poly-Euler polynomials; 11A15 -- 11F20 -- 11B68; Science -- Mathematics -- Periodicals; Engineering mathematics -- Periodicals; Applied mathematics -- Periodicals; 501.51
• DOI: 10.1080/27690911.2023.2196422
• Languages: English
• ISSNs: 2769-0911

Abstract

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.