On asymptotics of polynomial eigenfunctions for exactly solvable differential operators

DOI10.1016/j.jat.2007.04.010zbMath1155.34045arXivmath/0701143OpenAlexW1977012058MaRDI QIDQ2481483

Tanja Bergkvist

Publication date: 10 April 2008

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

Full work available at URL: https://arxiv.org/abs/math/0701143

zbMATH Keywords

polynomial eigenfunctionsasymptotic zero distributionsroot growtheigenpolynomialsexactly-solvable operators

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Ordinary differential equations in the complex domain (34M99)

Related Items (7)

Root-counting Measures of Jacobi Polynomials and Topological Types and Critical Geodesics of Related Quadratic Differentials ⋮ On a class of equilibrium problems in the real axis ⋮ An asymptotic expansion of eigenpolynomials for a class of linear differential operators ⋮ On higher Heine-Stieltjes polynomials ⋮ Generalized Heine–Stieltjes and Van Vleck polynomials associated with two-level, integrable BCS models ⋮ Homogenized spectral problems for exactly solvable operators: asymptotics of polynomial eigenfunctions ⋮ On Polynomial Eigenfunctions of a Hypergeometric-Type Operator

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