A \(q\)-analogue of Appell's \(F_ 1\) function, its integral representation and transformations (Q1099308)
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scientific article; zbMATH DE number 4040309
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A \(q\)-analogue of Appell's \(F_ 1\) function, its integral representation and transformations |
scientific article; zbMATH DE number 4040309 |
Statements
A \(q\)-analogue of Appell's \(F_ 1\) function, its integral representation and transformations (English)
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1990
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An extension of Askey and Wilson's \(q\)-beta integral is evaluated as a sum of two double series. The formula is then used to find a \(q\)-analogue of Appell's \(F_ 1\) function via its integral representation as well as \(q\)- analogues of transformations of \(F_ 1\) to another \(F_ 1\) and \(F_ 3\) functions.
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basic hypergeometric series
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