Some relations of the twisted \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and weak weight \(\beta\) (Q437649)
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scientific article; zbMATH DE number 6058170
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some relations of the twisted \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and weak weight \(\beta\) |
scientific article; zbMATH DE number 6058170 |
Statements
Some relations of the twisted \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and weak weight \(\beta\) (English)
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18 July 2012
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Summary: Recently many mathematicians are working on Genocchi polynomials and Genocchi numbers. We define a new type of twisted \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and weak weight \(\beta\) and give some interesting relations of the twisted \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and weak weight \(\beta\). Finally, we find relations between twisted \(q\)-Genocchi zeta function and twisted Hurwitz \(q\)-Genocchi zeta function.
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