Abstract and Applied Analysis
Volume 2013 (2013), Article ID 871512, 6 pages
http://dx.doi.org/10.1155/2013/871512
Research Article

Umbral Calculus and the Frobenius-Euler Polynomials

Dae San Kim,1 Taekyun Kim,2 and Sang-Hun Lee3

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

Received 27 November 2012; Accepted 19 December 2012

Academic Editor: Juan J. Trujillo

Copyright © 2013 Dae San Kim 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

We study some properties of umbral calculus related to the Appell sequence. From those properties, we derive new and interesting identities of the Frobenius-Euler polynomials.