Euler numbers and polynomials associated with zeta functions. (English) Zbl 1145.11019

Kim, Taekyun

Abstr. Appl. Anal. 2008, Article ID 581582, 11 p. (2008).

By using Euler zeta and Hurwitz-Euler zeta functions, several relations have been obtained between Euler numbers and zeta functions, and some infinite sums and trigonometric identities have been introduced in terms of Euler numbers.

Reviewer: Mehmet Cenkci (Antalya)

MSC:

11B68	Bernoulli and Euler numbers and polynomials
11M41	Other Dirichlet series and zeta functions

Keywords:

Euler numbers; Euler polynomials; Euler zeta functions; Hurwitz-Euler zeta functions

References:

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