\(\pi \)-formulas implied by Dougall's summation theorem for \(_{5} F _{4}\)-series
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 \(1/\pi^2\).
Dougall's summation theorem for \({}_5F_4\)-series
scientific article; zbMATH DE number 6021894
scientific article