Orthogonal polynomials associated with some modifications of a linear functional

DOI10.1080/00036819208840108zbMath0807.39013OpenAlexW1995498517WikidataQ58293239 ScholiaQ58293239MaRDI QIDQ4291594

S. Belmehdi, Francisco Marcellán

Publication date: 10 May 1994

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819208840108

zbMATH Keywords

orthogonal polynomialsrecurrence relationHermite polynomialslinear functionalDirac masssemiclassical linear functionalsfunctional and differential equations

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Functional equations for functions with more general domains and/or ranges (39B52) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

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Some Extension of the bessel-type orthogonal polynomials ⋮ On semiclassical linear functionals of classs=2: classification and integral representations ⋮ Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions. ⋮ A generalization of the classical Laguerre polynomials ⋮ Stability of third degree linear functionals and rational spectral transformations ⋮ Rational spectral transformations and orthogonal polynomials ⋮ Perturbations on the antidiagonals of Hankel matrices ⋮ Delta perturbation of a moment functional ⋮ Perturbations of Laguerre–Hahn functional: modification by the derivative of a Dirac delta ⋮ Perturbations of Laguerre-Hahn linear functionals ⋮ On semi-classical linear functionals of class \(s=1\). Classification and integral representations

Cites Work

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• On the classification of differential equations having orthogonal polynomial solutions
• Orthogonal polynomials and measures with end point masses
• Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)
• On the classification of differential equations having orthogonal polynomial solutions. II