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A study on the fermionic \(p\)-adic \(q\)-integral representation on \(\mathbb Z_p\) associated with weighted \(q\)-Bernstein and \(q\)-Genocchi polynomials - MaRDI portal

A study on the fermionic \(p\)-adic \(q\)-integral representation on \(\mathbb Z_p\) associated with weighted \(q\)-Bernstein and \(q\)-Genocchi polynomials (Q657150)

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scientific article; zbMATH DE number 5997817
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English
A study on the fermionic \(p\)-adic \(q\)-integral representation on \(\mathbb Z_p\) associated with weighted \(q\)-Bernstein and \(q\)-Genocchi polynomials
scientific article; zbMATH DE number 5997817

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    A study on the fermionic \(p\)-adic \(q\)-integral representation on \(\mathbb Z_p\) associated with weighted \(q\)-Bernstein and \(q\)-Genocchi polynomials (English)
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    16 January 2012
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    Summary: We consider weighted \(q\)-Genocchi numbers and polynomials. We investigated some interesting properties of the weighted \(q\)-Genocchi numbers related to weighted \(q\)-Bernstein polynomials by using fermionic \(p\)-adic integrals on \(\mathbb Z_p\).
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