Some basic extensions of Gustafson-Rakha's multivariate basic hypergeometric series (Q1865123)
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scientific article; zbMATH DE number 1887496
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some basic extensions of Gustafson-Rakha's multivariate basic hypergeometric series |
scientific article; zbMATH DE number 1887496 |
Statements
Some basic extensions of Gustafson-Rakha's multivariate basic hypergeometric series (English)
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25 March 2003
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The author establishes that when \(m=2n\), and \(n=1\), one of the two multivariate basic hypergeometric series associated with the root system of classical Lie algebra obtained earlier by \textit{R. A. Gustafson} and the author [Ann. Comb. 4, 347-373 (2000; Zbl 0971.33009)] is equivalent to Jackson's \({}_8\psi_7\) sum while the other series is equivalent to the basic Gauss' sum.
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\(q\)-series
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\(q\)-beta integrals
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integral transformation
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hypergeometric series very well poised on Lie algebras
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basic hypergeometric series
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basic Jackson's sum
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basic Gauss' sum
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0.8925077
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0.8866098
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0.8809595
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0.87814426
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0.86988497
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