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On the Faraut-Koranyi hypergeometric functions in rank two

Miroslav Engliš, Genkai Zhang (2004)

Annales de l’institut Fourier

We give a complete description of the boundary behaviour of the generalized hypergeometric functions, introduced by Faraut and Koranyi, on Cartan domains of rank 2. The main tool is a new integral representation for some spherical polynomials, which may be of independent interest.

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