Umbral Calculus and Euler Polynomials

Dae San Kim1, Taekyun Kim2, Sang-Hun Lee3, Seog-Hoon Rim4
1Department of Mathematics, Sogang University, Seoul 121-742, S. Korea
2Department of Mathematics, Kwangwoon University, Seoul 139-701, S.Korea
3Division of Genera Education, Kwangwoon University, Seoul 139-701, S.Korea
4Department of Mathematics Education, Kyungpook National University, Taegu 702-701, S. Korea

Abstract

In this paper, we study some properties of Euler polynomials arising from umbral calculus. Finally, we give some interesting identities of Euler polynomials using our results. Recently, D. S. Kim and T. Kim have studied some identities of Frobenius-Euler polynomials arising from umbral calculus \((see[6])\).