New hypergeometric transformations (Q1298506)
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scientific article; zbMATH DE number 1326323
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New hypergeometric transformations |
scientific article; zbMATH DE number 1326323 |
Statements
New hypergeometric transformations (English)
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19 January 2000
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Considering a double series, rearranging terms with a slight change of notation, giving a particular value to one of the variables and applying Gauss's summation theorem, a hypergeometric identity is obtained which is a transformation of a well-poised \(6F_5(-1)\) series into a Clausen function of unit argument. Another result which is derivable similarly is stated without proof.
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Dixon's theorem
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Gauss's summation theorem
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Clausen function
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