By making use of some explicit relationships between the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Frobenius-Euler polynomials of higher order and the generalized Hurwitz-Lerch zeta function as well as a new expansion formula for the generalized Hurwitz-Lerch zeta function obtained recently by Gaboury and Bayad , in this paper we present some series representations for these polynomials at rational arguments. These results provide extensions of those obtained by Apostol (1951) and by Srivastava (2000).
"Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function." Abstr. Appl. Anal. 2013 (SI30) 1 - 8, 2013. https://doi.org/10.1155/2013/975615