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Choi, Junesang; Anderson, P.J.; Srivastava, H.M.
Applied mathematics and computation, 06/2008, Letnik: 199, Številka: 2Journal Article
In this paper, we first investigate several further interesting properties of the multiple Hurwitz–Lerch Zeta function Φ n ( z, s, a) which was introduced recently by Choi et al. J. Choi, D.S. Jang, H.M. Srivastava, A generalization of the Hurwitz–Lerch Zeta function, Integral Transform. Spec. Funct., 19 (2008). We then introduce and investigate some q-extensions of the multiple Hurwitz–Lerch Zeta function Φ n ( z, s, a), the Apostol–Bernoulli polynomials B k ( n ) ( x ; λ ) of order n, and the Apostol–Euler polynomials E k ( n ) ( x ; λ ) of order n. Relevant connections of the results presented here with those obtained in earlier works are also indicated precisely.
