Functiones et Approximatio Commentarii Mathematici

Poly-Euler polynomials and Arakawa--Kaneko type zeta functions

Yoshinori Hamahata

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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.

Article information

Funct. Approx. Comment. Math., Volume 51, Number 1 (2014), 7-22.

First available in Project Euclid: 24 September 2014

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 11B68: Bernoulli and Euler numbers and polynomials
Secondary: 11M32: Multiple Dirichlet series and zeta functions and multizeta values 11M35: Hurwitz and Lerch zeta functions

polylogarithms Euler numbers and polynomials Bernoulli numbers and polynomials zeta function


Hamahata, Yoshinori. Poly-Euler polynomials and Arakawa--Kaneko type zeta functions. Funct. Approx. Comment. Math. 51 (2014), no. 1, 7--22. doi:10.7169/facm/2014.51.1.1.

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