Geodesic
Biorthogonal Expansion of Non-Symmetric Jack Functions
Symmetry, integrability and geometry: methods and applications, Tome 3 (2007) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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Siddhartha Sahi; G. Zhang. Biorthogonal Expansion of Non-Symmetric Jack Functions. Symmetry, integrability and geometry: methods and applications, Tome 3 (2007). http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a105/

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