A study on a type of degenerate poly-Dedekind sums

DOI10.1515/dema-2023-0121zbMath1529.11066OpenAlexW4390701820MaRDI QIDQ6184655

Wen Peng Zhang, Lingling Luo, Yuankui Ma, Taekyun Kim, Hongze Li

Publication date: 25 January 2024

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2023-0121

zbMATH Keywords

degenerate poly-Bernoulli polynomialsdegenerate polylogarithm functionsdegenerate poly-Dedekind sums

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Dedekind eta function, Dedekind sums (11F20) Special sequences and polynomials (11B83)

Cites Work

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• Special functions related to Dedekind-type DC-sums and their applications
• Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials
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• Degenerate poly-Bernoulli polynomials arising from degenerate polylogarithm
• Identities on poly-Dedekind sums
• A note on negative \(\lambda\)-binomial distribution
• A note on a new type of degenerate Bernoulli numbers
• Construction on the degenerate poly-Frobenius-Euler polynomials of complex variable
• Generalized Dedekind sums and transformation formulae of certain Lambert series
• Reciprocity of poly-Dedekind-type DC sums involving poly-Euler functions
• Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions
• Note on on Dedekind type DC sums

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