Second-Order Difference Equation for Sobolev-Type Orthogonal Polynomials. Part II: Computational Tools

DOI10.4208/EAJAM.2022-235.190223MaRDI QIDQ6139028

Juan José Moreno Balcázar, Juan F. Mañas-Mañas, Galina Filipuk

Publication date: 18 December 2023

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

symbolic computationSobolev orthogonal polynomialssecond-order difference equation

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) Other functions coming from differential, difference and integral equations (33E30) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Cites Work

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• Varying Jacobi-Krall orthogonal polynomials: local asymptotic behaviour and zeros
• On Sobolev orthogonal polynomials
• \(q\)-difference operators for orthogonal polynomials
• Hahn difference operator and associated Jackson-Nörlund integrals
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Jacobi polynomials from compatibility conditions
• Sobolev Orthogonal Polynomials: Asymptotics and Symbolic Computation
• Second-order difference equation for Sobolev-type orthogonal polynomials: Part I: theoretical results
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• Asymptotic behavior of varying discrete Jacobi-Sobolev orthogonal polynomials

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