Rodrigues Formula for the Nonsymmetric Multivariable Hermite Polynomial

Abstract

Applying a method developed by Takamura and Takano for the nonsymmetric Jack polynomial, we present the Rodrigues formula for the nonsymmetric multivariable Hermite polynomial.

5 pages, LaTeX

References in corpus (4)

• Yangian Gelfand-Zetlin Bases, gl(N)-Jack Polynomials and computation of Dynamical Correlation Functions in the Spin Calogero-Sutherland Model
• Orthogonal Symmetric Polynomials Associated with the Calogero Model
• 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