Rodrigues Formula for the Nonsymmetric Multivariable Hermite Polynomial
Hideaki Ujino, Miki Wadati
TL;DR
This paper derives a Rodrigues formula for nonsymmetric multivariable Hermite polynomials using a method adapted from Takamura and Takano's approach for nonsymmetric Jack polynomials.
Contribution
It introduces a novel Rodrigues formula for nonsymmetric multivariable Hermite polynomials, expanding the mathematical tools available for their analysis.
Findings
Derived the Rodrigues formula for nonsymmetric multivariable Hermite polynomials
Extended Takamura and Takano's method to Hermite polynomials
Provided a new analytical expression for these polynomials
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.
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