Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition

DOI10.1080/10652469.2022.2159959OpenAlexW4312219987MaRDI QIDQ6172109

Khaled Omrani, Lotfi Khériji

Publication date: 18 July 2023

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

Full work available at URL: https://doi.org/10.1080/10652469.2022.2159959

zbMATH Keywords

orthogonal polynomialscubic decompositionLaguerre-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)

Cites Work

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• Quadratic decomposition of a Laguerre-Hahn polynomial sequence. II
• An introduction to the \(q\)-Laguerre-Hahn orthogonal \(q\)-polynomials
• Characterizations of a special family of Laguerre-Hahn forms of class one
• Quadratic decomposition of a Laguerre-Hahn polynomial sequence. I.
• Perturbations of Laguerre-Hahn linear functionals
• Third degree classical forms
• Some semi-classical and Laguerre-Hahn forms defined by pseudo-functions
• On the Christoffel product of a \(D\)-Laguerre-Hahn form by a polynomial of one degree
• Laguerre-Freud equations associated with the D-Laguerre-Hahn forms of class one
• A large family of symmetric Laguerre–Hahn polynomials of class two
• On the general cubic decomposition of polynomial sequences
• Perturbations of Laguerre–Hahn functional: modification by the derivative of a Dirac delta
• Symmetric laguerre-hahn forms of classs=1
• Characterization of the symmetricD-Laguerre–Hahn orthogonal polynomial sequences of even class via the quadratic decomposition
• Laguerre–Hahn orthogonal polynomials on the real line
• Cubic decomposition of a family of semiclassical polynomial sequences of class one
• On Cubic Transformations of Orthogonal Polynomials

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