On the inverse problem of the product of a form by a polynomial: The cubic case.

DOI10.1016/S0168-9274(02)00250-7zbMath1035.42023MaRDI QIDQ1811698

I. Nicolau, Pascal Maroni

Publication date: 17 June 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsinverse problemsforms

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 (15)

A non-symmetric second-degree semi-classical form of class one ⋮ Laguerre-Freud equations associated with the Hq-semiclassical forms of class one ⋮ On an inverse problem for a linear combination of orthogonal polynomials ⋮ 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 ⋮ The algebraic equation \(xu=\lambda x^3 v\) in the symmetric case ⋮ Some inverse problems for \(d\)-orthogonal polynomials ⋮ A note on the Geronimus transformation and Sobolev orthogonal polynomials ⋮ Multiple Geronimus transformations ⋮ Orthogonal polynomials associated with an inverse spectral transform. The cubic case ⋮ Division problem of a regular form: the case \(x^2u=\lambda xv\) ⋮ Linear combinations of \(d\)-orthogonal polynomials ⋮ Geronimus transformations of bivariate linear functionals ⋮ On the inverse problem of the product of a form by a monomial: the casen=4: Part II ⋮ Associated orthogonal polynomials of the first kind and Darboux transformations ⋮ On the inverse problem of the product of a form by a monomial: the casen=4. Part I

Cites Work

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• Variations around classical orthogonal polynomials. Connected problems
• On the inverse problem of the product of a semi-classical from by a polynomial
• On a regular form defined by a pseudo-function
• Some semi-classical and Laguerre-Hahn forms defined by pseudo-functions
• A Generalization of the Cauchy Principal Value
• THE MATHEMATICS OF PRINCIPAL VALUE INTEGRALS AND APPLICATIONS TO NUCLEAR PHYSICS, TRANSPORT THEORY, AND CONDENSED MATTER PHYSICS
• On Quasi-Orthogonal Polynomials

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