Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)

From MaRDI portal
Publication:1097995

DOI10.1007/BF01773932zbMath0636.33009MaRDI QIDQ1097995

Pascal Maroni

Publication date: 1987

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)




Related Items (92)

On the linear functionals associated to linearly related sequences of orthogonal polynomialsOrthogonal functions satisfying a second-order differential equation.Bilinear semiclassical moment functionals and their integral representationRecurrence relations for the moments of discrete semiclassical orthogonal polynomialsDifferential-difference properties of hypergeometric seriesZeros of quasi-orthogonal Jacobi polynomialsA characterization of classical and semiclassical orthogonal polynomials from their dual polynomialsZeros of quasi-orthogonal ultraspherical polynomialsOn polynomials orthogonal with respect to an inner product involving differencesOn semiclassical linear functionals: Integral representationsA large family of semi-classical polynomials: The perturbed ChebyshevAn introduction to second degree formsOn Fourth-order Difference Equations for Orthogonal Polynomials of a Discrete Variable: Derivation, Factorization and SolutionsNew characterizations of discrete classical orthogonal polynomialsOn the associated orthogonal polynomialsTwo point masses perturbation of regular moment functionalsThe structure relation for Askey-Wilson polynomialsSemiclassical orthogonal polynomials in two variablesOrthogonal polynomials and coherent pairs: The classical caseEigenproblems for tridiagonal 2-Toeplitz matrices and quadratic polynomial mappingsOrthogonal polynomials associated with some modifications of a linear functionalThe algebra of linear functionals on polynomials, with applications to Padé approximationA look-ahead strategy for the implementation of some old and new extrapolation methodsMinimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous caseAbout semiclassical polynomials on the unit circle corresponding to the class (2,2)Discrete semiclassical orthogonal polynomials of class 2Padé approximation of vector functionsWhat is beyond coherent pairs of orthogonal polynomials?Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete caseCharacterization of \(q\)-Dunkl Appell symmetric orthogonal \(q\)-polynomialsCorrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete caseProperties of generalized Freud polynomialsOn the semi-classical character of orthogonal polynomials satisfying structure relationsNonlinear functional equations satisfied by orthogonal polynomialsTruncated Hermite polynomialsLaguerre–Hahn orthogonal polynomials on the real lineA general method for deriving some semi-classical properties of perturbed second degree forms: the case of the Chebyshev form of second kindOn a family of semiclassical orthogonal polynomials on the unit circle belonging to the class (p, p)Some inverse problems for \(d\)-orthogonal polynomialsCoherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomialsFactorization of fourth-order differential equations for perturbed classical orthogonal polynomials.A characterization of Askey-Wilson polynomialsQuasi-orthogonality with applications to some families of classical orthogonal polynomials.Bounds for Extreme Zeros of Quasi-orthogonal Ultraspherical PolynomialsAround operators not increasing the degree of polynomialsStructure relations for the bivariate big \(q\)-Jacobi polynomialsDecomposition of polynomials with respect to the cyclic group of order \(m\)The relationship between semiclassical Laguerre polynomials and the fourth Painlevé equationDelta perturbation of a moment functionalOrthogonality with respect to the sum of two semiclassical regular linear formsOn semi‐classical d‐orthogonal polynomialsCharacterizations of \(\Delta\)-Volterra lattice: a symmetric orthogonal polynomials interpretationRecurrence relation and differential equation for a class of orthogonal polynomialsA generalized sextic Freud weightA characterization of Hermite polynomialsMatrix Pearson equations satisfied by Koornwinder weights in two variablesCharacterizations of classical orthogonal polynomialsGeneralized coherent pairsA semiclassical perspective on multivariate orthogonal polynomialsOn linear combinations of two orthogonal polynomial sequences on the unit circleOn regularity of semiclassical functionals of class (2,2)On the assignment of a Dirac-mass for a regular and semi-classical formOrthogonal polynomials associated with an inverse quadratic spectral transformAbout semiclassical orthogonal polynomials of the class \((2,2)\)On semiclassical orthogonal polynomials via polynomial mappingsUnnamed ItemA large family of semi-classical polynomials of class oneOrthogonal polynomial solutions of spectral type differential equations: Magnus' conjectureUnnamed ItemQuasi-orthogonality and real zeros of some \(_2F_2\) and \(_3F_2\) polynomialsA Generalized Freud WeightOn three-term recurrence and Christoffel–Darboux identity for orthogonal rational functions on the real lineQuasi-orthogonality and differential equationsOn another extension of coherent pairs of measuresOn quasi-orthogonal polynomials of orderrNew characterizations of classical orthogonal polynomialsComplex path integral representation for semiclassical linear functionalsOn differential equations for orthogonal polynomials on the unit circleOn second kind polynomials associated with rational transformations of linear functionalsOn certain properties of perturbed Freud-type weight: a revisitA characterization theorem for semi-classical orthogonal polynomials on non-uniform latticesThe generalized Krawtchouk polynomials and the fifth Painlevé equationOn semi-classical linear functionals of class \(s=1\). Classification and integral representationsSecond-order differential equations in the Laguerre-Hahn classSur la suite de polynômes orthogonaux associée à la forme \(u=\delta_ c+\lambda (x-c)^{-1}L\). (On the sequence of orthogonal polynomials associated with the form \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)On a class of polynomials orthogonal with respect to a discrete Sobolev inner productOn inverse problems for orthogonal polynomials. IOrthogonal polynomials on Sobolev spaces: Old and new directionsVariations around classical orthogonal polynomials. Connected problemsOrthogonal polynomials on the unit circle and their derivativesThe quasi-orthogonality of the derivatives of semi-classical polynomialsGeneralised Airy polynomials



Cites Work


This page was built for publication: Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)