Some basic extensions of Gustafson-Rakha's multivariate basic hypergeometric series
The author establishes that when \(m=2n\), and \(n=1\), one of the two multivariate basic hypergeometric series associated with the root system of classical Lie algebra obtained earlier by \textit{R. A. Gustafson} and the author [Ann. Comb. 4, 347-373 (2000; Zbl 0971.33009)] is equivalent to Jackson's \({}_8\psi_7\) sum while the other series is equivalent to the basic Gauss' sum.
hypergeometric series very well poised on Lie algebras
scientific article; zbMATH DE number 1887496