\(q\)-hypergeometric solutions of \(q\)-difference equations (Q1381810)
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scientific article; zbMATH DE number 1135929
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(q\)-hypergeometric solutions of \(q\)-difference equations |
scientific article; zbMATH DE number 1135929 |
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\(q\)-hypergeometric solutions of \(q\)-difference equations (English)
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7 March 2000
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An algorithm for finding hypergeometric solutions of a class of difference equations [see \textit{M. Petkovšek}, J. Symb. Comput. 14, No. 2/3, 243-264 (1992; Zbl 0761.11008)] is modified as a \(q\)-analogue. Applications include construction of basic hypergeometric series solutions, and definite \(q\)-hypergeometric summation in closed form.
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\(q\)-difference equation
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\(q\)-hypergeometric function
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basic hypergeometric series
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0.9379484
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0.9332323
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0.93260705
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0.9322152
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0.92356277
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