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We give some explicit relationships between the Apostol-Eulerpolynomials and generalized Hurwitz-Lerch Zeta function and obtainsome series representations of the Apostol-Euler polynomials ofhigher order in terms of the generalized Hurwitz-Lerch Zetafunction. Several interesting special cases are also shown

Some formulas for Apostol-Euler polynomials associated with Hurwitz zeta function at rational arguments