Skip to content

Advertisement

  • Research Article
  • Open Access

On Multiple Interpolation Functions of the -Genocchi Polynomials

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

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

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

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.

Keywords

  • Full Article
  • Publisher Note

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

(1)
Department of Mathematics Education, Kyungpook National University, Tagegu, 702-701, South Korea
(2)
Department of Mathematics, Kyungpook National University, Tagegu, 702-701, South Korea

Copyright

© 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.

Advertisement