On some arithmetical properties of the Genocchi numbers and polynomials (Q1009383)

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scientific article; zbMATH DE number 5538044
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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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