On Generalized Arakawa–Kaneko Zeta Functions with Parameters

Nestor G. Acala and Edward Rowe M. Aleluya

International Journal of Mathematics and Mathematical Sciences, 2020, vol. 2020, 1-6

Abstract:

For , the generalized Arakawa–Kaneko zeta functions with , , parameters are given by the Laplace-Mellin integral , where and if , and and if . In this paper, an interpolation formula between these generalized zeta functions and the poly-Bernoulli polynomials with parameters is obtained. Moreover, explicit, difference, and Raabe’s formulas for are derived.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:2041262

DOI: 10.1155/2020/2041262

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