An example of nonsymmetric semi-classical form of class \(s=1\); generalization of a case of Jacobi sequence

DOI10.1155/S0161171200004671zbMath0967.33006MaRDI QIDQ5926150

Atia, Mohamed Jalel

Publication date: 26 August 2001

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48860

zbMATH Keywords

orthogonal polynomialssemi-classical polynomials

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)

Related Items (11)

On orthogonal polynomials: semiclassical and of second category ⋮ On the characterizations of third-degree semiclassical forms via polynomial mappings ⋮ Connection coefficients for orthogonal polynomials: Symbolic computations, verifications and demonstrations in the Mathematica language ⋮ A positive definite linear functional of class \(s=2\), generalization of Chebyshev polynomials ⋮ Third-degree semiclassical forms of class one arising from cubic decomposition ⋮ Some generalized Jacobi polynomials. ⋮ Semi-classical linear functionals and integral representation II ⋮ Generalized Jacobi orthogonal polynomials ⋮ Explicit representations of some orthogonal polynomials ⋮ Semi-Classical Linear Functionals and Integral Representation ⋮ Some symmetric semi-classical orthogonal polynomials of class 0≤s≤5

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