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arXiv · 0711.2401

Biorthogonal Expansion of Non-Symmetric Jack Functions

Siddhartha Sahi·Genkai Zhang
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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.

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Siddhartha Sahi, Genkai Zhang. 2007-11-15. Biorthogonal Expansion of Non-Symmetric Jack Functions. https://doi.org/10.3842/sigma.2007.106

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