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Some identities of the twisted \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and \(q\)-Bernstein polynomials with weight \(\alpha\) - MaRDI portal

Some identities of the twisted \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and \(q\)-Bernstein polynomials with weight \(\alpha\) (Q657096)

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scientific article; zbMATH DE number 5997775
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English
Some identities of the twisted \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and \(q\)-Bernstein polynomials with weight \(\alpha\)
scientific article; zbMATH DE number 5997775

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    Some identities of the twisted \(q\)-Genocchi numbers and polynomials with weight \(\alpha\) and \(q\)-Bernstein polynomials with weight \(\alpha\) (English)
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    16 January 2012
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    Summary: Recently mathematicians have studied some interesting relations between \(q\)-Genocchi numbers, \(q\)-Euler numbers, polynomials, Bernstein polynomials, and \(q\)-Bernstein polynomials. In this paper, we give some interesting identities of the twisted \(q\)-Genocchi numbers, polynomials, and \(q\)-Bernstein polynomials with weighted \(\alpha\).
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