Abstract
In this paper, we first obtain several properties of poly-p-Bernoulli polynomials. In particular, we achieve some new results for poly-Bernoulli polynomials. We next define a generalization of the Arakawa–Kaneko zeta function associated with poly-p-Bernoulli polynomials, investigate some its particular values, and give asymptotic and series expansions.
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This work was supported by Research Fund of Akdeniz University. Project Number: FBA-2018-3723.
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Kargın, L. Poly-p-Bernoulli polynomials and generalized Arakawa–Kaneko zeta function. Lith Math J 60, 29–50 (2020). https://doi.org/10.1007/s10986-019-09448-7
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DOI: https://doi.org/10.1007/s10986-019-09448-7