On a basic analogue of the \(G\)-function (Q2751706)
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scientific article; zbMATH DE number 1665047
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a basic analogue of the \(G\)-function |
scientific article; zbMATH DE number 1665047 |
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7 January 2003
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\(q\)-analogue of Meijer \(G\)-function
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basic hypergeometric series
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0.92281383
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0.89943093
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On a basic analogue of the \(G\)-function (English)
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\textit{R. K. Saxena, G. C. Modi} and \textit{S. L. Kalla} [Rev. Tec. Ing. Univ. Zullia 6, 139-143 (1983; Zbl 0562.33004)] defined a \(q\)-analogue of Meijer's \(G\)-function in complete analogy as a certain contour integral of a quotient of several infinite \(q\)-factorials. The results of this paper are several formulas which express linear combinations of such basic \(G\)-functions as a single basic \(G\)-function. The proofs are based on the very-well-poised \(_6\varphi_5\)-summation formula. As corollaries, several double-sum-to-single-sum transformation formulas for basic hypergeometric series are obtained.NEWLINENEWLINEFor the entire collection see [Zbl 0970.00018].
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