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Rodrigues Formula for the Nonsymmetric Multivariable Laguerre Polynomial

Akinori Nishino·Hideaki Ujino·Miki Wadati
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Abstract

Extending a method developed by Takamura and Takano, we present the Rodrigues formula for the nonsymmetric multivariable Laguerre polynomials which form the orthogonal basis for the $B_{N}$-type Calogero model with distinguishable particles. Our construction makes it possible for the first time to algebraically generate all the nonsymmetric multivariable Laguerre polynomials with different parities for each variable.

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Akinori Nishino, Hideaki Ujino, Miki Wadati. 1999-05-14. Rodrigues Formula for the Nonsymmetric Multivariable Laguerre Polynomial. https://doi.org/10.1143/jpsj.68.797

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