A probabilistic proof of Gauss' \(_ 2F_ 1\) identity (Q1336449)
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scientific article; zbMATH DE number 665834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A probabilistic proof of Gauss' \(_ 2F_ 1\) identity |
scientific article; zbMATH DE number 665834 |
Statements
A probabilistic proof of Gauss' \(_ 2F_ 1\) identity (English)
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24 October 1994
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The summation theorem of Gauss for \({_ 2 F_ 1}(a,b;c;1)\) is proved in this note for positive integers \(a\), \(b\), \(c\) in a probabilistic way by using order statistics and the inverse Pólya distribution.
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summation theorem of Gauss
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order statistics
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inverse Pólya distribution
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