Differential operators having Sobolev-type Gegenbauer polynomials as eigenfunctions
type: Item
instance of: scholarly article
title: Differential operators having Sobolev-type Gegenbauer polynomials as eigenfunctions
zbMATH Open document ID: 0955.33002
DOI: 10.1016/S0377-0427(00)00279-X
author: H. Bavinck
published in: Journal of Computational and Applied Mathematics
publication date: 2000-10-26T00:00:00Z
review text: The author investigates orthogonal polynomials on \((-1,1)\) with respect to a Sobolev-type inner product which generalize the Gegenbauer polynomials. It is proved that these polynomials are eigenfunctions of a differential operator of (in general) infinite order.
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 34A35
zbMATH DE Number: 1472329
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: Sobolev-type inner product
zbMATH Keywords: Gegenbauer polynomials
zbMATH Keywords: differential operator
reviewed by: Hans-Jürgen Glaeske
MaRDI profile type: Publication
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full work available at URL: s0377-0427(00)00279-x
OpenAlex ID: W4206224663
description: scientific article; zbMATH DE number 1472329