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Journal of Inequalities and Applications
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Remarks on Sum of Products of -Twisted Euler Polynomials and Numbers

Journal of Inequalities and Applications volume 2008, Article number: 816129 (2007) Cite this article

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.

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Authors and Affiliations

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

    Hacer Ozden & Ismail Naci Cangul

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

    Yilmaz Simsek

Authors
  1. Hacer Ozden
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  2. Ismail Naci Cangul
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  3. Yilmaz Simsek
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Correspondence to Hacer Ozden.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Ozden, H., Cangul, I.N. & Simsek, Y. Remarks on Sum of Products of -Twisted Euler Polynomials and Numbers. J Inequal Appl 2008, 816129 (2007). https://doi.org/10.1155/2008/816129

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  • DOI: https://doi.org/10.1155/2008/816129

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