An algebraic identity on \(q\)-Apéry numbers (Q409411)
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scientific article; zbMATH DE number 6023628
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An algebraic identity on \(q\)-Apéry numbers |
scientific article; zbMATH DE number 6023628 |
Statements
An algebraic identity on \(q\)-Apéry numbers (English)
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13 April 2012
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By means of partial fraction decomposition, the author establishes a \(q\)-extension of an algebraic identity on rational function. Its limiting case, as \(q \rightarrow 1\), leads to a harmonic number identity closely related to Beukers' conjecture on Apéry numbers.
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\(q\)-binomial coefficients
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\(q\)-harmonic numbers
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algebraic identity
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