A unified approach to the summation and integration formulas for \(q\)-hypergeometric functions. II
[For part I see \textit{M. Rahman} and \textit{S. Suslov} in J. Stat. Plann. Inference 54, No. 1, 101-118 (1996; Zbl 0861.33014).] In this paper the authors have obtained the summation formulas for the bilateral \(_2\Psi_2\) series and the balanced \(_3\Psi_3\) series from a Pearson type difference equation on a \(q\)-linear lattice without the benefit of a single transformation formula. The corresponding formulas for Ramanujan type intgrals have also been derived.
scientific article; zbMATH DE number 1310570