Rodrigues Formula for the Nonsymmetric Multivariable Laguerre Polynomial

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.

6 pages, LaTeX

References in corpus (2)

• New Non-Symmetric Orthogonal Basis for the Calogero Model with Distinguishable Particles
• Braid Structure and Raising-Lowering Operator Formalism in Sutherland Model

Cited by in corpus (2)

• Bosonic and Fermionic Eigenstates for Generalized Sutherland Models
• Algebraic study on the $A_{N-1}$- and $B_N$-Calogero models with bosonic, fermionic and distinguishable particles