A generalization of classical symmetric orthogonal functions using a symmetric generalization of Sturm–Liouville problems

DOI10.1080/10652460701510949zbMath1133.34020arXiv1305.5156OpenAlexW1984367640MaRDI QIDQ5438033

Mohammad Masjed-Jamei

Publication date: 28 January 2008

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

Full work available at URL: https://arxiv.org/abs/1305.5156

zbMATH Keywords

generalized Hermite polynomialsorthogonal functionsgeneralized ultraspherical polynomialsgeneralized associated Legendre functionsgeneralized Sturm-Liouville problems with symmetric solutionstwo kinds of finite symmetric orthogonal polynomials

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Other special orthogonal polynomials and functions (33C47)

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Cites Work

• A basic class of symmetric orthogonal polynomials using the extended Sturm-Liouville theorem for symmetric functions
• Sieved Orthogonal Polynomials. VII: Generalized Polynomial Mappings
• Three Finite Classes of Hypergeometric Orthogonal Polynomials and Their Application in Functions Approximation
• Characterizations of generalized Hermite and sieved ultraspherical polynomials
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