International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 861797, 9 pages
http://dx.doi.org/10.1155/2012/861797
Research Article

A Note on Some Identities of Frobenius-Euler Numbers and Polynomials

J. Choi,1 D. S. Kim,2 T. Kim,3 and Y. H. Kim1

1Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea
2Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea
3Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea

Received 28 November 2011; Accepted 9 January 2012

Academic Editor: Feng Qi

Copyright © 2012 J. Choi et al. 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.

Abstract

The purpose of this paper is to give some identities on the Frobenius-Euler numbers and polynomials by using the fermionic 𝑝 -adic 𝑞 -integral equation on ℤ 𝑝 .