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

Qiu-Ming Luo

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Source: Crossref

Published: Jan 1, 2009

DOI: 10.2298/aadm0902336l

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Source abstract

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

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Some formulas for Apostol-Euler polynomials associated with Hurwitz zeta function at rational arguments — Mathematical Frontier Network