On the Distribution of the -Euler Polynomials and the -Genocchi Polynomials of Higher Order

Leechae Jang; Taekyun Kim

doi:10.1155/2008/723615

Research Article
Open Access

On the Distribution of the -Euler Polynomials and the -Genocchi Polynomials of Higher Order

Leechae Jang¹Email author and
Taekyun Kim²

Journal of Inequalities and Applications20082008:723615

https://doi.org/10.1155/2008/723615

Received: 19 March 2008
Accepted: 23 October 2008
Published: 16 November 2008

Abstract

In 2007 and 2008, Kim constructed the -extension of Euler and Genocchi polynomials of higher order and Choi-Anderson-Srivastava have studied the -extension of Euler and Genocchi numbers of higher order, which is defined by Kim. The purpose of this paper is to give the distribution of extended higher-order -Euler and -Genocchi polynomials.

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Authors’ Affiliations

(1)

Department of Mathematics and Computer Science, KonKuk University, Chungju, 380-701, South Korea

(2)

Division of General Education-Mathematics, Kwangwoon University, Seoul, 139-701, South Korea

Copyright

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.