Summation identities for representation of certain real numbers (Q884212)
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scientific article; zbMATH DE number 5164008
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Summation identities for representation of certain real numbers |
scientific article; zbMATH DE number 5164008 |
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Summation identities for representation of certain real numbers (English)
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13 June 2007
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The summation identities are used for the representation of real numbers of the form \(xu^m\pm yv^n\) for appropriately chosen real numbers \(x\), \(y\), \(u\), \(v\) and nonnegative integers \(m\) and \(n\). The proofs of the identities based on the computer-generated proofs using Zeilberger's algorithm.
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Zeilberger algorithm
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Fibonacci sequence
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hypergeometric summation
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