Differential equations of infinite order for orthogonal polynomials

DOI10.1007/BF02416454zbMath0156.07303MaRDI QIDQ2526628

H. L. Krall, I. M. Sheffer

Publication date: 1966

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

zbMATH Keywords

special functions

Related Items (13)

Orthogonal functions satisfying a second-order differential equation. ⋮ The Gauss quadrature for general linear functionals, Lanczos algorithm, and minimal partial realization ⋮ Differential equations having orthogonal polynomial solutions ⋮ Partial differential equations satisfied by polynomials which have a product formula. ⋮ Characterizations of distributional weights for weak orthogonal polynomials satisfying a second-order differential equation ⋮ Linear perturbations of differential or difference operators with polynomials as eigenfunctions ⋮ On Sobolev bilinear forms and polynomial solutions of second-order differential equations ⋮ On differential equations for Sobolev-type Laguerre polynomials ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ Orthogonal polynomial solutions of spectral type differential equations: Magnus' conjecture ⋮ Sobolev Orthogonal Polynomials and Spectral Differential Equations ⋮ Open problems and conjectures ⋮ Discrete classical orthogonal polynomials

Cites Work

• Über die Jacobischen Polynome und zwei verwandte Polynomklassen
• A characterization of orthogonal polynomials
• A New Class of Orthogonal Polynomials: The Bessel Polynomials

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