On incomplete symmetric orthogonal polynomials of Laguerre type

DOI10.1080/00036811003717970zbMath1220.33011OpenAlexW2060053800WikidataQ58140508 ScholiaQ58140508MaRDI QIDQ2995541

Mohammad Masjed-Jamei, Wolfram Koepf

Publication date: 21 April 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811003717970

zbMATH Keywords

generalized Hermite polynomialsLaguerre type polynomialsextended Sturm--Liouville differential equationincomplete symmetric orthogonal polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Sturm-Liouville theory (34B24) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other special orthogonal polynomials and functions (33C47)

Related Items (10)

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 ⋮ Some applications of a hypergeometric identity ⋮ Two finite hypergeometric sequences of discrete orthogonal polynomials ⋮ A symmetric generalization of Sturm–Liouville problems in discrete spaces

Cites Work

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

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