LITHUANIAN MATHEMATICAL JOURNAL, vol.60, no.1, pp.29-50, 2020 (SCI-Expanded)
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.