On the -Extension of Apostol-Euler Numbers and Polynomials

Young-Hee Kim, Wonjoo Kim and Lee-Chae Jang

Abstract and Applied Analysis, 2008, vol. 2008, 1-10

Abstract:

Recently, Choi et al. (2008) have studied the -extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order and multiple Hurwitz zeta function. In this paper, we define Apostol's type -Euler numbers and -Euler polynomials . We obtain the generating functions of and , respectively. We also have the distribution relation for Apostol's type -Euler polynomials. Finally, we obtain -zeta function associated with Apostol's type -Euler numbers and Hurwitz_s type -zeta function associated with Apostol's type -Euler polynomials for negative integers.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:296159

DOI: 10.1155/2008/296159

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