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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.
Applied Mathematics in Science and Engineering – Taylor & 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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