Some semi-classical and Laguerre-Hahn forms defined by pseudo-functions

DOI10.4310/MAA.1996.v3.n1.a2zbMath0865.42022OpenAlexW102464786MaRDI QIDQ1924346

J. Alaya, Pascal Maroni

Publication date: 3 July 1997

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.1996.v3.n1.a2

zbMATH Keywords

Hermite formsemiclassical formsChebyshev formpseudo-functionsLaguerre-Hahn formsTchebyshev form

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (14)

Stability of third degree linear functionals and rational spectral transformations ⋮ Characterization of the symmetricD-Laguerre–Hahn orthogonal polynomial sequences of even class via the quadratic decomposition ⋮ On the inverse problem of the product of a semi-classical from by a polynomial ⋮ 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 ⋮ A general method for deriving some semi-classical properties of perturbed second degree forms: the case of the Chebyshev form of second kind ⋮ 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 ⋮ Characterizations of a special family of Laguerre-Hahn forms of class one ⋮ A family of symmetric second degree semiclassical forms of class \(s = 2\) ⋮ Generalized Jacobi orthogonal polynomials ⋮ Division problem of a regular form: the case \(x^2u=\lambda xv\) ⋮ A large family of semi-classical polynomials of class one ⋮ On the inverse problem of the product of a form by a polynomial: The cubic case.

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