Journal of Inequalities and Applications 
Volume 2008 (2008), Article ID 816129, 8 pages
doi:10.1155/2008/816129
Research Article

Remarks on Sum of Products of (h,q)-Twisted Euler Polynomials and Numbers

Hacer Ozden,1 Ismail Naci Cangul,1 and Yilmaz Simsek2

 1Department of Mathematics, Faculty of Arts and Science, University of Uludag, Bursa 16059, Turkey
2Department of Mathematics, Faculty of Arts and Science, University of Akdeniz, Antalya 07058, Turkey
Received 29 March 2007; Accepted 16 October 2007

Recommended by Panayiotis D. Siafarikas

Abstract

The main purpose of this paper is to construct generating functions of higher-order twisted (h,q)-extension of Euler polynomials and numbers, by using p-adic, q-deformed fermionic integral on ℤp. By applying these generating functions, we prove complete sums of products of the twisted (h,q)-extension of Euler polynomials and numbers. We also define some identities involving twisted (h,q)-extension of Euler polynomials and numbers.