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

Qiu-Ming Luo | Zendy

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

Author(s) -

Qiu-Ming Luo

Publication year - 2009

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm0902336l

Subject(s) - mathematics , bernoulli polynomials , pure mathematics , generating function , polylogarithm , euler's formula , hurwitz polynomial , riemann zeta function , order (exchange) , difference polynomials , arithmetic zeta function , orthogonal polynomials , algebra over a field , combinatorics , mathematical analysis , prime zeta function , polynomial , finance , economics

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

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