Variation on a theme of Macdonald

DOI10.1007/BF02571505zbMath0763.33006OpenAlexW2141702488MaRDI QIDQ1183063

G. J. Heckman, Rogier Brussee, Eric M. Opdam

Publication date: 28 June 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174296

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (4)

On a theta product formula for Jackson integrals associated with root systems of rank two ⋮ Schwartz space for the hypergeometric Fourier transform. (With an appendix by Mustapha Tinfou) ⋮ Inversion formula for the hypergeometric Fourier transform associated with a root system of type \(BC\) ⋮ A Weyl group generation function that ought to be better known

Cites Work

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• Some applications of hypergeometric shift operators
• The Poincaré series of a Coxeter group
• An elementary approach to the hypergeometric shift operators of Opdam
• Statistical Theory of the Energy Levels of Complex Systems. I
• Proof of a Conjecture by Dyson in the Statistical Theory of Energy Levels
• Some Conjectures for Root Systems
• Proof of a Conjecture by Dyson

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