On the modified \(q\)-Bernoulli numbers of higher order with weight (Q410245)
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scientific article; zbMATH DE number 6021006
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the modified \(q\)-Bernoulli numbers of higher order with weight |
scientific article; zbMATH DE number 6021006 |
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On the modified \(q\)-Bernoulli numbers of higher order with weight (English)
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3 April 2012
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Summary: The purpose of this paper is to give some properties of the modified \(q\)-Bernoulli numbers and polynomials of higher order with weight. In particular, by using the bosonic \(p\)-adic \(q\)-integral on \(\mathbb Z_p\), we derive new identities of \(q\)-Bernoulli numbers and polynomials with weight.
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\(q\)-Bernoulli numbers
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\(q\)-Bernoulli polynomials of higher order
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bosonic \(p\)-adic \(q\)-integral
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0.94231373
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0.93613017
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0.93559265
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0.91085523
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0.9076556
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0.90375656
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0.9006854
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