Rodrigues Formula for the Nonsymmetric Multivariable Hermite Polynomial

Hideaki Ujino; Miki Wadati

doi:10.1143/jpsj.68.391

Journal of the Physical Society of Japan

Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015

Rodrigues Formula for the Nonsymmetric Multivariable Hermite Polynomial

Hideaki Ujino, Miki Wadati

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Keywords: nonsymmetric multivariable Hermite polynomial, Calogero model, Dunkl-Cherednik operator formulation, Rodrigues formula

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1999 Volume 68 Issue 2 Pages 391-395

DOI https://doi.org/10.1143/jpsj.68.391

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Abstract

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

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