On the Christoffel product of a \(D\)-Laguerre-Hahn form by a polynomial of one degree

DOI10.1007/s13370-021-00888-4zbMath1488.33031OpenAlexW3134137803MaRDI QIDQ1984222

K. Ben Gharbi, Lotfi Khériji

Publication date: 13 September 2021

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-021-00888-4

zbMATH Keywords

orthogonal polynomials\(D\)-Laguerre-Hahn formsChristoffel product

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 (2)

Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition ⋮ On some perturbed \(q\)-Laguerre-Hahn orthogonal \(q\)-polynomials

Cites Work

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• Some semi-classical and Laguerre-Hahn forms defined by pseudo-functions
• The connection between self-associated two-dimensional vector functionals and third degree forms
• Laguerre-Freud equations associated with the D-Laguerre-Hahn forms of class one
• An example of non-definite positive second degree form
• A large family of symmetric Laguerre–Hahn polynomials of class two
• Symmetric laguerre-hahn forms of classs=1
• Characterization of the symmetricD-Laguerre–Hahn orthogonal polynomial sequences of even class via the quadratic decomposition
• On Laguerre–Hahn linear functionals: the symmetric companion

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