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A NOTE ON GENOCCHI-ZETA FUNCTIONS

  • Park, Kyoung-Ho (Department of Mathematics, Sogang University)
  • Received : 2008.09.13
  • Accepted : 2009.07.13
  • Published : 2009.09.25

Abstract

In this paper, we study the Genoochi-zeta functions which are entire functions in whole complex s-plane these zeta functions have the values of the Genocchi numbers and the Genoochi polynomials at negative integers respectively. That is ${\zeta}_G(1-k)={\frac{G_k}{k}}$ and ${\zeta}_G(1-k,x)={\frac{G_k(x)}{k}}$.

Keywords

Genocchi numbers;Genocchi polynomials;Genocchi-Zeta function

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