Summation formulas associated with the Lauricella function \(F_A^{(\tau)}\) (Q1972448)
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scientific article; zbMATH DE number 1429491
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Summation formulas associated with the Lauricella function \(F_A^{(\tau)}\) |
scientific article; zbMATH DE number 1429491 |
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Summation formulas associated with the Lauricella function \(F_A^{(\tau)}\) (English)
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4 June 2000
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The authors make use of some rather elementary techniques in order to derive several summation formulas associated with Lauricella's hypergeometric function \(F^{(r)}_A\) in \(r\) variables (and also with its familiar generalizations). A number of (known or new) consequences of these summation formulas are also considered.
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Lauricella functions
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multiple hypergeometric functions
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Appell functions
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Laguerre polynomials
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confluent hypergeometric function
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Gauss hypergeometric function
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Cauchy product
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Laplace transforms
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generating functions
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0.88351285
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0.8740062
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0.86474836
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