On certain special transformations of poly-basic analogue of Srivastava- Daoust's function (Q1205199)

The authors make use of the operators of fractional \(q\)-derivative to prove a number of transformation formulas involving a poly-basic analogue of a multiple basic hypergeometric function studied earlier by the reviewer [IMA J. Appl. Math. 30, 315-323 (1983; Zbl 0513.33002); ibid. 33, 205-209 (1984; Zbl 0533.33001)]. Each of these multiple basic hypergeometric functions stems essentially from a generalized Lauricella hypergeometric function of several variables, which was introduced (over two decades ago) by the reviewer and \textit{M. C. Daoust} [Nederl. Akad. Wet., Proc., Ser. A 72, 449-457 (1969; Zbl 0185.298)]. The authors also relate their work with that of \textit{R. Y. Denis} [Math. Student 51 (1983), No. 1-4, 121-125 (1983; Zbl 0715.33015)].