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This article is cited in 2 scientific papers (total in 2 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
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
Citation:
Siddhartha Sahi, G. Zhang, “Biorthogonal Expansion of Non-Symmetric Jack Functions”, SIGMA, 3 (2007), 106, 9 pp.
Linking options:
https://www.mathnet.ru/eng/sigma232 https://www.mathnet.ru/eng/sigma/v3/p106
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Abstract page: | 153 | Full-text PDF : | 40 | References: | 42 |
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