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Journal of Inequalities and Applications
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On Multiple Interpolation Functions of the -Genocchi Polynomials

Journal of Inequalities and Applications volume 2010, Article number: 351419 (2010) Cite this article

Abstract

Recently, many mathematicians have studied various kinds of the -analogue of Genocchi numbers and polynomials. In the work (New approach to q-Euler, Genocchi numbers and their interpolation functions, "Advanced Studies in Contemporary Mathematics, vol. 18, no. 2, pp. 105–112, 2009.", Kim defined new generating functions of -Genocchi, -Euler polynomials, and their interpolation functions. In this paper, we give another definition of the multiple Hurwitz type -zeta function. This function interpolates -Genocchi polynomials at negative integers. Finally, we also give some identities related to these polynomials.

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Authors and Affiliations

  1. Department of Mathematics Education, Kyungpook National University, Tagegu, 702-701, South Korea

    Seog-Hoon Rim

  2. Department of Mathematics, Kyungpook National University, Tagegu, 702-701, South Korea

    Jeong-Hee Jin, Eun-Jung Moon & Sun-Jung Lee

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  1. Seog-Hoon Rim
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  2. Jeong-Hee Jin
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  3. Eun-Jung Moon
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  4. Sun-Jung Lee
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Correspondence to Seog-Hoon Rim.

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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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Rim, SH., Jin, JH., Moon, EJ. et al. On Multiple Interpolation Functions of the -Genocchi Polynomials. J Inequal Appl 2010, 351419 (2010). https://doi.org/10.1155/2010/351419

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  • DOI: https://doi.org/10.1155/2010/351419

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