Articles with "poly bernoulli" as a keyword



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Poly-Dedekind sums associated with poly-Bernoulli functions

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Published in 2020 at "Journal of Inequalities and Applications"

DOI: 10.1186/s13660-020-02513-7

Abstract: Apostol considered generalized Dedekind sums by replacing the first Bernoulli function appearing in Dedekind sums by any Bernoulli functions and derived a reciprocity relation for them. Recently, poly-Dedekind sums were introduced by replacing the first… read more here.

Keywords: poly bernoulli; poly dedekind; dedekind; bernoulli functions ... See more keywords
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Some results for q-poly-Bernoulli polynomials with a parameter

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Published in 2018 at "Miskolc Mathematical Notes"

DOI: 10.18514/mmn.2018.2435

Abstract: The main object of this paper is to investigate a new class of the generalized q-polyBernoulli numbers and polynomials with a parameter. We give explicit formulas and a recursive method for the calculation of the… read more here.

Keywords: results poly; bernoulli polynomials; poly bernoulli; polynomials parameter ... See more keywords
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A note on degenerate multi-poly-Bernoulli numbers and polynomials

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Published in 2022 at "Applicable Analysis and Discrete Mathematics"

DOI: 10.2298/aadm200510005k

Abstract: In this paper, we consider the degenerate multi-poly-Bernoulli numbers and polynomials which are defined by means of the multiple polylogarithms and degenerate versions of the multi-poly-Bernoulli numbers and polynomials. We investigate some properties for those… read more here.

Keywords: numbers polynomials; degenerate multi; poly bernoulli; multi poly ... See more keywords