Remarks on Sum of Products of Open image in new window -Twisted Euler Polynomials and Numbers

Open Access
Research Article

Abstract

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

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© Hacer Ozden et al. 2008

This article is published under license to BioMed Central Ltd. 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.

Authors and Affiliations

  • Hacer Ozden
    • 1
  • Ismail Naci Cangul
    • 1
  • Yilmaz Simsek
    • 2
  1. 1.Department of Mathematics, Faculty of Arts and ScienceUniversity of UludagBursaTurkey
  2. 2.Department of Mathematics, Faculty of Arts and ScienceUniversity of AkdenizAntalyaTurkey

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