\(\pi \)-formulas implied by Dougall's summation theorem for \(_{5} F _{4}\)-series (Q411277)
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scientific article; zbMATH DE number 6021894
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\pi \)-formulas implied by Dougall's summation theorem for \(_{5} F _{4}\)-series |
scientific article; zbMATH DE number 6021894 |
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\(\pi \)-formulas implied by Dougall's summation theorem for \(_{5} F _{4}\)-series (English)
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4 April 2012
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The author shows that the general summation theorem for the \({}_5 F_4\) series discovered by \textit{J. Dougall} [Edinb. M. S. Proc. 25, 114--132 (1907; JFM 38.0313.01)] implies several infinite series of Ramanujan-type for \(1/\pi\) and \(1/\pi^2\).
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Dougall's summation theorem for \({}_5F_4\)-series
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\(\pi\)-series of Ramanujan-type
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