Poly-\(p\)-Bernoulli polynomials and generalized Arakawa-Kaneko zeta function (Q779837)

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scientific article; zbMATH DE number 7220252
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Poly-\(p\)-Bernoulli polynomials and generalized Arakawa-Kaneko zeta function
scientific article; zbMATH DE number 7220252

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    Poly-\(p\)-Bernoulli polynomials and generalized Arakawa-Kaneko zeta function (English)
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    14 July 2020
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    The author gives not only arithmetical properties of the so-called poly-p-Bernoulli numbers and polynomials, but also a generalization of the Arakawa-Kaneko zeta function which intepolates poly-p-Bernoulli numbers at negative integers. The author also gives asymptotic and series expansions involving the multiple zeta function and Arakawa-Kaneko zeta function.
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    Bernoulli numbers and polynomials
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    zeta function
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