On incomplete symmetric orthogonal polynomials of Jacobi type

DOI10.1080/10652460903516751zbMath1206.33010OpenAlexW2069810100MaRDI QIDQ3053694

Wolfram Koepf, Mohammad Masjed-Jamei

Publication date: 29 October 2010

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460903516751

zbMATH Keywords

weight functionspecial functionsgeneralized ultraspherical polynomialsextended Sturm-Liouville problems for symmetric functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (13)

Construction of Gaussian quadrature formulas for even weight functions ⋮ 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 ⋮ A symmetric sequence of trigonometric orthogonal functions ⋮ Incomplete symmetric orthogonal polynomials of finite type generated by a generalized Sturm–Liouville theorem ⋮ A finite class of orthogonal functions generated by Routh–Romanovski polynomials ⋮ Some applications of a hypergeometric identity ⋮ A basic class of symmetric orthogonal functions with six free parameters ⋮ Two finite hypergeometric sequences of discrete orthogonal polynomials ⋮ 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
• A generalization of classical symmetric orthogonal functions using a symmetric generalization of Sturm–Liouville problems

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