A unified approach to the summation and integration formulas for \(q\)-hypergeometric functions. II (Q1293928)
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scientific article; zbMATH DE number 1310570
| Language | Label | Description | Also known as |
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| English | A unified approach to the summation and integration formulas for \(q\)-hypergeometric functions. II |
scientific article; zbMATH DE number 1310570 |
Statements
A unified approach to the summation and integration formulas for \(q\)-hypergeometric functions. II (English)
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10 April 2000
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[For part I see \textit{M. Rahman} and \textit{S. Suslov} in J. Stat. Plann. Inference 54, No. 1, 101-118 (1996; Zbl 0861.33014).] In this paper the authors have obtained the summation formulas for the bilateral \(_2\Psi_2\) series and the balanced \(_3\Psi_3\) series from a Pearson type difference equation on a \(q\)-linear lattice without the benefit of a single transformation formula. The corresponding formulas for Ramanujan type intgrals have also been derived.
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Pearson type equation
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\(q\)-linear lattice
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bilateral summation formulas
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Barnes's type integrals
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Ramanujan type intgrals
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