Third degree classical forms
type: Item
instance of: scholarly article
title: Third degree classical forms
zbMATH Open document ID: 1013.33004
DOI: 10.1016/S0168-9274(02)00189-7
author: Yanyan Li
published in: Applied Numerical Mathematics
publication date: 2003-03-10T00:00:00Z
review text: The author investigates the problem of the characterization and of the determination of semi-classical forms which are third degree regular forms (TDRF). At first some necessary conditions are given to impound that a semi-classical form is (TDRF) but not of second degree. So one can determine all classical forms which are (TDRF). It is shown that Hermite, Laguerre and Bessel forms are not (TDRF), but Jacobi forms are (TDRF) under additional conditions on the parameters.
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33C90
zbMATH DE Number: 1879005
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: third degree forms
zbMATH Keywords: classical forms
reviewed by: Hans-Jürgen Glaeske
MaRDI profile type: Publication
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full work available at URL: s0168-9274(02)00189-7
OpenAlex ID: W2156032640
description: scientific article; zbMATH DE number 1879005