Clausen's hypergeometric series with variable \(1/4\) (Q1910051)
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scientific article; zbMATH DE number 861811
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Clausen's hypergeometric series with variable \(1/4\) |
scientific article; zbMATH DE number 861811 |
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Clausen's hypergeometric series with variable \(1/4\) (English)
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12 September 1996
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The author makes use of the cubic transformation formulae due to \textit{W. N. Bailey} [Proc. Lond. Math. Soc., II. Ser. 28, 242-254 (1928)] and \textit{I. Gessel} and \textit{D. Stanton} [SIAM J. Math. Anal. 13, 295-308 (1982; Zbl 0486.33003)] to obtain certain interesting formulas which gives the value of \({}_2 F_3 [1/4]\) and \({}_4 F_3 [1/4]\) under different conditions on the parameters.
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cubic transformation
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0.8495315
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0.8380028
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0.82925713
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