On some arithmetical properties of the Genocchi numbers and polynomials (Q1009383)
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scientific article; zbMATH DE number 5538044
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some arithmetical properties of the Genocchi numbers and polynomials |
scientific article; zbMATH DE number 5538044 |
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On some arithmetical properties of the Genocchi numbers and polynomials (English)
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31 March 2009
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The authors obtain the Fourier expansions of the Genocchi polynomials by using its Fourier transform, and then they generalize the Genocchi polynomials and numbers to the \(q\)-case and derive some formulas for the \(q\)-Genocchi polynomials and numbers. They also show some relations between the \(q\)-Genocchi polynomials and \(q\)-zeta functions.
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Genocchi number
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Genocchi polynomial
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\(q\)-Genocchi number
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\(q\)-Genocchi polynomial
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\(q\)-zeta function
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