Open Access
September 2008 A new characterization of the generalized Hermite linear form
A. Ghressi, L. Khériji
Bull. Belg. Math. Soc. Simon Stevin 15(3): 561-567 (September 2008). DOI: 10.36045/bbms/1222783100

Abstract

We show that the Generalized Hermite linear form $\mathcal{H}(\mu)$, which is symmetric $D$-semiclassical of class one, is the unique $\mathcal{D}_{\theta}$-Appell classical where $\mathcal{D}_{\theta}$ is the Dunkl operator.

Citation

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A. Ghressi. L. Khériji. "A new characterization of the generalized Hermite linear form." Bull. Belg. Math. Soc. Simon Stevin 15 (3) 561 - 567, September 2008. https://doi.org/10.36045/bbms/1222783100

Information

Published: September 2008
First available in Project Euclid: 30 September 2008

zbMATH: 1220.42017
MathSciNet: MR2457969
Digital Object Identifier: 10.36045/bbms/1222783100

Subjects:
Primary: 33C45 , 42C05

Keywords: Appell orthogonal polynomials , Dunkl operator , semiclassical orthogonal polynomials

Rights: Copyright © 2008 The Belgian Mathematical Society

Vol.15 • No. 3 • September 2008
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