Open Access
September 2014 Poly-Euler polynomials and Arakawa--Kaneko type zeta functions
Yoshinori Hamahata
Funct. Approx. Comment. Math. 51(1): 7-22 (September 2014). DOI: 10.7169/facm/2014.51.1.1

Abstract

We introduce poly-Euler polynomials, which generalize Euler polynomials. Various results about them are provided. Furthermore, we introduce zeta functions of Arakawa--Kaneko type, and discuss their properties and the relation with poly-Euler polynomials.

Citation

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Yoshinori Hamahata. "Poly-Euler polynomials and Arakawa--Kaneko type zeta functions." Funct. Approx. Comment. Math. 51 (1) 7 - 22, September 2014. https://doi.org/10.7169/facm/2014.51.1.1

Information

Published: September 2014
First available in Project Euclid: 24 September 2014

zbMATH: 1304.30004
MathSciNet: MR3263067
Digital Object Identifier: 10.7169/facm/2014.51.1.1

Subjects:
Primary: 11B68
Secondary: 11M32 , 11M35

Keywords: Bernoulli numbers and polynomials , Euler numbers and polynomials , polylogarithms , zeta function

Rights: Copyright © 2014 Adam Mickiewicz University

Vol.51 • No. 1 • September 2014
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