On a new characterization of the classical orthogonal polynomials

DOI10.1016/0021-9045(92)90128-BzbMath0761.33003OpenAlexW2025601355MaRDI QIDQ1198940

Dette, Holger, William J. Studden

Publication date: 16 January 1993

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(92)90128-b

zbMATH Keywords

associated measures

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 (6)

A characterization of classical and semiclassical orthogonal polynomials from their dual polynomials ⋮ Some new asymptotic properties for the zeros of Jacobi, Laguerre, and Hermite polynomials ⋮ On the solution of some distributional differential equations: existence and characterizations of the classical moment functionals ⋮ Characterizations of generalized Hermite and sieved ultraspherical polynomials ⋮ A limit theorem of \(D\)-optimal designs for weighted polynomial regression ⋮ Strong asymptotics for Laguerre polynomials with varying weights

Cites Work

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• Principal representations and canonical moment sequences for distributions on an interval
• On the asymptotic distribution of the zeros of Hermite, Laguerre, and Jonquière polynomials
• On an extremal problem of Fejér
• Moment inequalities
• Asymptotics for orthogonal polynomials
• On Asymptotic Average Properties of Zeros of Orthogonal Polynomials
• ON A CHARACTERIZATION OF MEIXNER'S POLYNOMIALS

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