On orthogonal polynomials with respect to a class of differential operators

DOI10.1016/j.amc.2013.01.069zbMath1298.33017OpenAlexW2022049738MaRDI QIDQ2451385

Jorge Alberto Borrego Morell

Publication date: 3 June 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.01.069

zbMATH Keywords

orthogonal polynomialsasymptotic behaviourlinear differential operatorszero location

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (1)

Differential orthogonality: Laguerre and Hermite cases with applications

Cites Work

• Orthogonality with respect to a Jacobi differential operator and applications
• On polar Legendre polynomials
• Multiset theory
• Orthogonal polynomials with respect to a differential operator. Existence and uniqueness
• Certain differential equations for Tchebycheff polynomials
• Sobolev–Gegenbauer-type orthogonality and a hydrodynamical interpretation
• Lie algebras and polynomials in one variable
• Orthogonal polynomials
• Characterizations of Orthogonal Polynomials Satisfying Differential Equations
• On polynomial solutions of differential equations
• A Generalization of a Theorem of Bôcher

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