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  • Research Article
  • Open Access

On Multiple Interpolation Functions of the -Genocchi Polynomials

  • 1Email author,
  • 2,
  • 2 and
  • 2
Journal of Inequalities and Applications20102010:351419

  • Received: 14 December 2009
  • Accepted: 29 March 2010
  • Published:


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’ Affiliations

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


© Seog-Hoon Rim et al. 2010

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.