A basic class of symmetric orthogonal functions using the extended Sturm-Liouville theorem for symmetric functions

DOI10.1016/J.CAM.2007.04.025zbMath1137.33001OpenAlexW2017592391MaRDI QIDQ2483340

Mohammad Masjed-Jamei

Publication date: 28 April 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.04.025

zbMATH Keywords

generalized Hermite polynomialsFavard's theoremextended Sturm-Liouville theorem for symmetric functionsgeneralized ultraspherical polynomialssymmetric orthogonal functionstwo sequences of finite classical symmetric orthogonal polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Sturm-Liouville theory (34B24) Other special orthogonal polynomials and functions (33C47)

Related Items (9)

A generalization of Fourier trigonometric series ⋮ On a symmetric generalization of bivariate Sturm-Liouville problems ⋮ A class of symmetric \(q\)-orthogonal polynomials with four free parameters ⋮ A basic class of symmetric orthogonal polynomials of a discrete variable ⋮ A symmetric generalization of Sturm-Liouville problems in \(q\)-difference spaces ⋮ Incomplete symmetric orthogonal polynomials of finite type generated by a generalized Sturm–Liouville theorem ⋮ A basic class of symmetric orthogonal functions with six free parameters ⋮ Two finite sequences of symmetric \(q\)-orthogonal polynomials generated by two \(q\)-Sturm-Liouville problems ⋮ A symmetric generalization of Sturm–Liouville problems in discrete spaces

Cites Work

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• A basic class of symmetric orthogonal polynomials using the extended Sturm-Liouville theorem for symmetric functions
• Sieved Ultraspherical Polynomials
• Classical orthogonal polynomials with weight function ((ax + b)² + (cx + d)²)^−pexp(qArctg((ax + b)/(cx + d))),x ∈ (−∞, ∞) and a generalization of T and F distributions
• A generalization of classical symmetric orthogonal functions using a symmetric generalization of Sturm–Liouville problems

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