Rodrigues Formula for the Nonsymmetric Multivariable Laguerre Polynomial

Details Rodrigues Formula for the Nonsymmetric Multivariable Laguerre Polynomial Rodrigues Formula for the Nonsymmetric Multivariable Laguerre Polynomial

1999-05-13

arxiv.org/abs/cond-mat/9905179v2

J. Phys. Soc. Jpn. 68 (1999) 797-802

Physics

Condensed Matter

Statistical Mechanics

6 pages, LaTeX

Scientific paper

10.1143/JPSJ.68.797

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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