Some identities on the \(q\)-Genocchi polynomials of higher-order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\) (Q623697)
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scientific article; zbMATH DE number 5847822
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some identities on the \(q\)-Genocchi polynomials of higher-order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\) |
scientific article; zbMATH DE number 5847822 |
Statements
Some identities on the \(q\)-Genocchi polynomials of higher-order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\) (English)
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8 February 2011
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Summary: A systemic study of some families of \(q\)-Genocchi numbers and families of polynomials of Nörlund type is presented by using the multivariate fermionic \(p\)-adic integral on \(\mathbb Z_p\) . The study of these higher-order \(q\)-Genocchi numbers and polynomials yields an interesting \(q\)-analog of identities for Stirling numbers.
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