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A Note on Genocchi-zeta Functions

Year: 2009
Type: article
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 ${\zeta}_G(1-k,x)={\frac{G_k(x)}{k}}$ .
Author: Kyoung-Ho Park
Language: English
Open Access status: bronze
OpenAlex ID: W2001578346
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Cites: 19
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Related to: 10