TY - JOUR AU - Gaboury, Sebastien PY - 2013 DA - 2013/12/12 TI - Some relations involving generalized Hurwitz-Lerch zeta function obtained by means of fractional derivatives with applications to Apostol-type polynomials JO - Advances in Difference Equations SP - 361 VL - 2013 IS - 1 AB - In this paper, we present three new expansion formulas for the generalized Hurwitz-Lerch zeta function. These expansions are obtained by using Taylor-like expansions involving fractional derivatives. Finally, interesting special cases involving the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials are also given. SN - 1687-1847 UR - https://doi.org/10.1186/1687-1847-2013-361 DO - 10.1186/1687-1847-2013-361 ID - Gaboury2013 ER -