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Reciprocity of degenerate poly-Dedekind-type DC sums

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 the reciprocity relations of degenerate poly-Dedekind-type DC sums. Equivalently, several properties and identities of degenerate poly-Euler functions are obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics in Science and Engineering Taylor & Francis

Reciprocity of degenerate poly-Dedekind-type DC sums

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References (29)

Publisher
Taylor & Francis
Copyright
© 2023 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group
eISSN
2769-0911
DOI
10.1080/27690911.2023.2196422
Publisher site
See Article on Publisher Site

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.

Journal

Applied Mathematics in Science and EngineeringTaylor & Francis

Published: Dec 31, 2023

Keywords: degenerate poly-Dedekind DC sums; degenerate polylogarithm function; degenerate poly-Euler polynomials; 11A15; 11F20; 11B68

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