Some identities involving the partial sum of \(q\)-binomial coefficients (Q405302)
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scientific article; zbMATH DE number 6340241
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some identities involving the partial sum of \(q\)-binomial coefficients |
scientific article; zbMATH DE number 6340241 |
Statements
Some identities involving the partial sum of \(q\)-binomial coefficients (English)
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4 September 2014
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Summary: We give some identities involving sums of powers of the partial sum of \(q\)-binomial coefficients, which are \(q\)-analogues of Hirschhorn's identities [\textit{M. Hirschhorn}, Discrete Math. 159, No. 1--3, 273--278 (1996; Zbl 0858.05013)] and Zhang's identity [\textit{Z. Zhang}, ibid. 196, No. 1--3, 291--298 (1999; Zbl 0938.11010)].
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binomial coefficients
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\(q\)-binomial coefficients
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\(q\)-binomial theorem
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