Open Access Research Article

Remarks on Sum of Products of -Twisted Euler Polynomials and Numbers

Hacer Ozden1*, IsmailNaci Cangul1 and Yilmaz Simsek2

Author Affiliations

1 Department of Mathematics, Faculty of Arts and Science, University of Uludag, Bursa 16059, Turkey

2 Department of Mathematics, Faculty of Arts and Science, University of Akdeniz, Antalya 07058, Turkey

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Journal of Inequalities and Applications 2008, 2008:816129 doi:10.1155/2008/816129

Published: 25 November 2007

Abstract

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.