Orthogonal functions satisfying a second-order differential equation.

DOI10.1016/S0377-0427(02)00599-XzbMath1039.33003WikidataQ115339003 ScholiaQ115339003MaRDI QIDQ1874166

Yanyan Li

Publication date: 22 May 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Differential equationOrthogonal functionsOrthogonality of derivatives

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General spectral theory of ordinary differential operators (34L05) Other special orthogonal polynomials and functions (33C47)

Cites Work

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• Characterizations of classical orthogonal polynomials
• Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)
• The search for differential equations for certain sets of orthogonal polynomials
• Differential equations having orthogonal polynomial solutions
• Differential equations of infinite order for orthogonal polynomials
• Orthogonal functions whose derivatives are also orthogonal
• THE KRALL POLYNOMIALS: A NEW CLASS OF ORTHOGONAL POLYNOMIALS
• Orthogonalizing Weights of Tchebychev Sets of Polynomials

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