Characterization of the symmetricD-Laguerre–Hahn orthogonal polynomial sequences of even class via the quadratic decomposition

DOI10.1080/10236198.2018.1467899zbMath1396.33019OpenAlexW2799291790MaRDI QIDQ4580071

M. Ihsen Tounsi, K. Ben Gharbi, Lotfi Khériji

Publication date: 13 August 2018

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

Full work available at URL: https://doi.org/10.1080/10236198.2018.1467899

zbMATH Keywords

orthogonal polynomialsquadratic decompositionsymmetric Laguerre-Hahn forms

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 (3)

Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition ⋮ On some perturbed \(q\)-Laguerre-Hahn orthogonal \(q\)-polynomials ⋮ On the Christoffel product of a \(D\)-Laguerre-Hahn form by a polynomial of one degree

Cites Work

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• An introduction to the \(q\)-Laguerre-Hahn orthogonal \(q\)-polynomials
• Quadratic decomposition of a Laguerre-Hahn polynomial sequence. I.
• 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 \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
• Building some symmetric Laguerre-Hahn functionals of class two at most through the sum of symmetric functionals as pseudofunctions with a Dirac measure at origin
• Some semi-classical and Laguerre-Hahn forms defined by pseudo-functions
• The connection between self-associated two-dimensional vector functionals and third degree forms
• An example of non-definite positive second degree form
• A large family of symmetric Laguerre–Hahn polynomials of class two
• Characterization of the D w -Laguerre-Hahn Functionals
• Quadratic decomposition of symmetric semi-classical polynomial sequences of even class: an example from the cases = 2
• Symmetric laguerre-hahn forms of classs=1

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