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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 106, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.106 (Mi sigma232) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Biorthogonal Expansion of Non-Symmetric Jack Functions

Siddhartha Sahia, G. Zhangb

a Department of Mathematics, Rutgers University, New Brunswick, New Jersey, USA
b Mathematical Sciences, Chalmers University of Technology and Mathematical Sciences, Göteborg University, Sweden
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DOI: https://doi.org/10.3842/SIGMA.2007.106
Abstract: We find a biorthogonal expansion of the Cayley transform of the non-symmetric Jack functions in terms of the non-symmetric Jack polynomials, the coefficients being Meixner–Pollaczek type polynomials. This is done by computing the Cherednik–Opdam transform of the non-symmetric Jack polynomials multiplied by the exponential function.
Keywords: non-symmetric Jack polynomials and functions; biorthogonal expansion; Laplace transform; Cherednik–Opdam transform.
Received: August 8, 2007; in final form October 31, 2007; Published online November 15, 2007
Bibliographic databases:
Document Type: Article
MSC: 33C52; 33C67; 43A90
Language: English
Citation: Siddhartha Sahi, G. Zhang, “Biorthogonal Expansion of Non-Symmetric Jack Functions”, SIGMA, 3 (2007), 106, 9 pp.
Citation in format AMSBIB
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\paper Biorthogonal Expansion of Non-Symmetric Jack Functions
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    		Symmetry, Integrability and Geometry: Methods and Applications
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