In:
Glasgow Mathematical Journal, Cambridge University Press (CUP), Vol. 49, No. 2 ( 2007-05), p. 291-319
Abstract:
There is a commutative algebra of differential-difference operators, acting on polynomials on $\mathbb{R}^{2}$ , 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.
Type of Medium:
Online Resource
ISSN:
0017-0895
,
1469-509X
DOI:
10.1017/S0017089507003709
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
2007
detail.hit.zdb_id:
1465410-6
SSG:
17,1
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