Liouville-Green-Olver approximations for complex difference equations

zbMath0918.39002MaRDI QIDQ1283905

Francesca Locatelli, Marco Vianello, Renato Spigler

Publication date: 19 August 1999

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

zbMATH Keywords

asymptoticscomplex coefficientsultraspherical functionsLiouville-Green-Olver approximationssecond-order linear difference equations

Mathematics Subject Classification ID

Related Items (3)

Canonical forms and discrete Liouville-Green asymptotics for second-order linear difference equations ⋮ Asymptotic approximations for second-order linear difference equations in Banach algebras. II ⋮ Convergent and asymptotic methods for second-order difference equations with a large parameter

Cites Work

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• \(q\)-functional equations and some partition identities
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• WKB (Liouville-Green) analysis of second order difference equations and applications
• Cesàro's theorems for complex sequences
• Asymptotic representation for the Blumenthal-Nevai orthogonal polynomials in the essential spectrum
• Liouville-Green approximations for a class of linear oscillatory difference equations of the second order
• WKBJ-type approximation for finite moments perturbations of the differential equation \(y\)=\(0\) and the analogous difference equation
• Error bounds for asymptotic solutions of second-order linear difference equations
• Minimal Solutions of Three-Term Recurrence Relations and Orthogonal Polynomials
• Asymptotic Expansions for Second-Order Linear Difference Equations, II
• Orthogonal polynomials
• Discrete and Continuous Liouville–Green–Olver Approximations: a Unified Treatment via Volterra–Stieltjes Integral Equations
• Uniform Asymptotic Expansions of the Jacobi Polynomials and an Associated Function

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