Poly-\(p\)-Bernoulli polynomials and generalized Arakawa-Kaneko zeta function. (English) Zbl 1450.11015
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.
Reviewer: Yilmaz Simsek (Antalya)
MSC:
| 11B68 | Bernoulli and Euler numbers and polynomials |
| 11M32 | Multiple Dirichlet series and zeta functions and multizeta values |
| 11M41 | Other Dirichlet series and zeta functions |
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