Rodrigues Formula for the Nonsymmetric Multivariable Laguerre Polynomial
Statistical Mechanics
2009-10-31 v2 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
solv-int
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 -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.
Cite
@article{arxiv.cond-mat/9905179,
title = {Rodrigues Formula for the Nonsymmetric Multivariable Laguerre Polynomial},
author = {Akinori Nishino and Hideaki Ujino and Miki Wadati},
journal= {arXiv preprint arXiv:cond-mat/9905179},
year = {2009}
}
Comments
6 pages, LaTeX