Geodesic
AN INTERTWINING OPERATOR FOR THE GROUP B 2
Glasgow mathematical journal, Tome 49 (2007) no. 2, pp. 291-319

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DOI

There is a commutative algebra of differential-difference operators, acting on polynomials on , associated with the reflection group B 2. This paper presents an integral transform which intertwines this algebra, allowing one free parameter, with the algebra of partial derivatives. The method of proof depends on properties of a certain class of balanced terminating hypergeometric series of 4 F 3-type. These properties are in the form of recurrence and contiguity relations and are proved herein.
DOI : 10.1017/S0017089507003709
Mots-clés : Primary 33C80, 33C20, Secondary 33C70, 43A80 
DUNKL, CHARLES F. AN INTERTWINING OPERATOR FOR THE GROUP B 2. Glasgow mathematical journal, Tome 49 (2007) no. 2, pp. 291-319. doi: 10.1017/S0017089507003709
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     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003709/}
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