Integral representations of generalized Lauricella hypergeometric functions (Q1205603)
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scientific article; zbMATH DE number 147571
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral representations of generalized Lauricella hypergeometric functions |
scientific article; zbMATH DE number 147571 |
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Integral representations of generalized Lauricella hypergeometric functions (English)
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1 April 1993
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A generalized Lauricella function of several variables was introduced by \textit{H. M. Srivastava} and \textit{M. C. Daoust} [Indagationes Math. 31, 449-457 (1969; Zbl 0185.29803)]. New integral representations for this function and for the Lauricella functions \(F_A^{(n)}, F_C^{(n)}\), \(F_D^{(n)}\) are obtained, with the help of a result on Mellin transforms, under suitable restrictions on the parameters, and integral representations for Appell functions \(F_1\), \(F_2\) and \(F_4\) are deduced from the last three.
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Lauricella functions
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Appell functions
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0.92549634
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0.9233495
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0.91791475
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0.9174858
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