A ``differential'' derivation of the recurrence relations for the classical orthogonal polynomials
type: Item
instance of: scholarly article
title: A ``differential'' derivation of the recurrence relations for the classical orthogonal polynomials
zbMATH Open document ID: 0794.33004
DOI: 10.1016/0377-0427(93)90157-7
author: S. Yu. Slavyanov
published in: Journal of Computational and Applied Mathematics
publication date: 1994-08-18T00:00:00Z
review text: The aim of the author is to give a new method to obtain the recurrence relations for classical orthogonal polynomials. The method is based on a special commutator algebra and needs only the knowledge of the first polynomial in addition to the differential equation satisfied by the polynomials. The basic idea of the method is explained on an example where the Jacobi polynomials are considered.
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 540471
zbMATH Keywords: operator algebra
zbMATH Keywords: recurrence relations
zbMATH Keywords: Jacobi polynomials
reviewed by: Mithat Idemen
MaRDI profile type: Publication
full work available at URL: 0377-0427(93)90157-7
OpenAlex ID: W2015575375
cites work: Q5820721
cites work: Lie theory and special functions
cites work: Q4059363
cites work: Q5521058
description: scientific article; zbMATH DE number 540471