Debiard, Amédée Le système différentiel hypergéométrique de type BC et son spectre. (The hypergeometric differential system of BC type and its spectrum). (French) Zbl 0757.33006 C. R. Acad. Sci., Paris, Sér. I 314, No. 11, 793-796 (1992). The author derives a simple expression for the differential hypergeometric system of BC type and rank \(p\), and computes its joint spectrum in the compact case. In the complex case, a comparison is also provided between the system investigated and the system due to F. Karpelevič. Reviewer: H.M.Srivastava (Victoria) Cited in 1 Document MSC: 33C80 Connections of hypergeometric functions with groups and algebras, and related topics 22E30 Analysis on real and complex Lie groups 33C55 Spherical harmonics Keywords:differential hypergeometric system; joint spectrum PDFBibTeX XMLCite \textit{A. Debiard}, C. R. Acad. Sci., Paris, Sér. I 314, No. 11, 793--796 (1992; Zbl 0757.33006)