Quadratic decomposition of the symmetric semi-classical polynomial sequences of odd class: some examples from the class three

DOI10.1080/10236198.2013.824969zbMath1432.33011OpenAlexW2024260947MaRDI QIDQ5746473

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Publication date: 18 February 2014

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2013.824969

zbMATH Keywords

orthogonal polynomialsquadratic decompositionsymmetric sequencessemi-classical sequences

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 (1)

A positive definite linear functional of class \(s=2\), generalization of Chebyshev polynomials

Cites Work

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• Sur la suite de polynômes orthogonaux associée à la forme \(u=\delta_ c+\lambda (x-c)^{-1}L\). (On the sequence of orthogonal polynomials associated with the form \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
• Semiclassical forms of class \(s = 2\): The symmetric case, when \(\Phi(0) = 0\)
• On the assignment of a Dirac-mass for a regular and semi-classical form
• Variations around classical orthogonal polynomials. Connected problems
• An introduction to second degree forms
• Quadratic decomposition of symmetric semi-classical polynomial sequences of even class: an example from the cases = 2
• Symmetric laguerre-hahn forms of classs=1
• Generalized Jacobi orthogonal polynomials

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