Root systems and hypergeometric functions. I
G. J. Heckman, E. M. Opdam (1987)
Compositio Mathematica
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G. J. Heckman, E. M. Opdam (1987)
Compositio Mathematica
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E. M. Opdam (1988)
Compositio Mathematica
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E. M. Opdam (1988)
Compositio Mathematica
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E. M. Opdam (1993)
Compositio Mathematica
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G. J. Heckman (1996-1997)
Séminaire Bourbaki
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Keiji Matsumoto, Takeshi Sasaki, Nobuki Takayama, Masaaki Yoshida (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Miroslav Engliš, Genkai Zhang (2004)
Annales de l’institut Fourier
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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.