Asymptotic properties of orthogonal polynomials from their recurrence formula. II

DOI10.1016/0021-9045(88)90046-9zbMath0643.42019OpenAlexW2025819013MaRDI QIDQ1101915

Walter Van Assche

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-9045(88)90046-9

zbMATH Keywords

elliptic functionsrecurrence relations

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) Elliptic functions and integrals (33E05)

Related Items (9)

An update on orthogonal polynomials and weighted approximation on the real line ⋮ Plancherel-Rotach asymptotics for \(q\)-orthogonal polynomials ⋮ The ratio of q-like orthogonal polynomials ⋮ On the asymptotic distribution of eigenvalues of banded matrices ⋮ Norm behavior and zero distribution for orthogonal polynomials with nonsymmetric weights ⋮ Relative asymptotics for orthogonal polynomials with unbounded recurrence coefficients ⋮ The one-quarter class of orthogonal polynomials ⋮ WKB (Liouville-Green) analysis of second order difference equations and applications ⋮ The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients

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