Open Access

On Multiple Interpolation Functions of the -Genocchi Polynomials

  • Seog-Hoon Rim1Email author,
  • Jeong-Hee Jin2,
  • Eun-Jung Moon2 and
  • Sun-Jung Lee2
Journal of Inequalities and Applications20102010:351419

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

Received: 14 December 2009

Accepted: 29 March 2010

Published: 6 April 2010

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’ Affiliations

(1)
Department of Mathematics Education, Kyungpook National University
(2)
Department of Mathematics, Kyungpook National University

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.