Open Access

Generalized -Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities

Journal of Inequalities and Applications20102010:682072

https://doi.org/10.1155/2010/682072

Received: 25 February 2010

Accepted: 26 April 2010

Published: 30 May 2010

Abstract

We give a new construction of the -Euler numbers and polynomials of higher order attached to Dirichlet's character . We derive some theoretic identities involving the generalized -Euler numbers and polynomials of higher order.

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Authors’ Affiliations

(1)
Division of General Education-Mathematics, Kwangwoon University

Copyright

© T. Kim and Y. H. Kim. 2010

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.