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Le système différentiel hypergéométrique de type BC et son spectre. (The hypergeometric differential system of BC type and its spectrum). (French) Zbl 0757.33006

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.

MSC:

33C80 Connections of hypergeometric functions with groups and algebras, and related topics
22E30 Analysis on real and complex Lie groups
33C55 Spherical harmonics
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