Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 816129, 8 pages
Remarks on Sum of Products of -Twisted Euler Polynomials and Numbers
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
Academic Editor: Panayiotis D. Siafarikas
Copyright © 2008 Hacer Ozden 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.
The main purpose of this paper is to construct generating functions of higher-order twisted
-extension of Euler polynomials and numbers, by using -adic, -deformed fermionic integral on . By applying these generating functions, we prove complete sums of products of the twisted -extension of Euler polynomials and numbers. We also define some
identities involving twisted -extension of Euler polynomials and numbers.