Some \(q\)-Bernoulli numbers of higher order associated with the \(p\)-adic \(q\)-integrals (Q1611430)
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scientific article; zbMATH DE number 1785885
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some \(q\)-Bernoulli numbers of higher order associated with the \(p\)-adic \(q\)-integrals |
scientific article; zbMATH DE number 1785885 |
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Some \(q\)-Bernoulli numbers of higher order associated with the \(p\)-adic \(q\)-integrals (English)
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6 October 2002
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The authors define generalized higher \(q\)-Bernoulli numbers associated with Dirichlet characters. The construction is based on the notion of the \(p\)-adic \(q\)-integral of the Volkenborn type introduced by \textit{T. Kim} [J. Number Theory 76, 320--329 (1999; Zbl 0941.11048)]. An expression for generalized higher \(q\)-Bernoulli numbers via lower ones is found.
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\(q\)-Bernoulli numbers
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\(q\)-Bernoulli polynomials
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\(p\)-adic \(q\)-integral
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Dirichlet character
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0.92549634
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0.9253272
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0.9167379
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0.91628015
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0.90848106
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