On certain transformations of poly-basic bilateral hypergeometric series. (Q1414329)
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scientific article; zbMATH DE number 2006418
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On certain transformations of poly-basic bilateral hypergeometric series. |
scientific article; zbMATH DE number 2006418 |
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On certain transformations of poly-basic bilateral hypergeometric series. (English)
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20 November 2003
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In this article the authors establish transformations of poly-basic bilateral hypergeometric series in terms of a similar series, not necessarily having the same number of bases. Several examples of bi-basic bilateral transformations are given. These transformations give rise to product transformation formulae, which for special values of the parameters lead to special transformation formulae for basic hypergeometric series.
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basic hypergeometric functions
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transformation formulae
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poly-basic \(q\)-series
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bilateral \(q\)-series
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0.94839066
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