Asymptotics of linear recurrences

DOI10.1142/S0219530514500286zbMath1295.41034MaRDI QIDQ5170151

Roderick Wong

Publication date: 18 July 2014

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsasymptotic expansionsthree-term recurrence relationssecond-order linear difference equations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Linear difference equations (39A06)

Related Items (8)

Error bounds for the asymptotic expansions of the Hermite polynomials ⋮ Recent advances in asymptotic analysis ⋮ Asymptotic expansion of orthogonal polynomials via difference equations ⋮ Plancherel-Rotach asymptotics of second-order difference equations with linear coefficients ⋮ Asymptotics of the Charlier polynomials via difference equation methods ⋮ Convergent and asymptotic methods for second-order difference equations with a large parameter ⋮ Asymptotics of the Wilson polynomials ⋮ Asymptotic approximations of the continuous Hahn polynomials and their zeros

Uses Software

• DLMF

Cites Work

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• Analytic theory of singular difference equations
• LINEAR DIFFERENCE EQUATIONS WITH A TRANSITION POINT AT THE ORIGIN
• ASYMPTOTICS OF ORTHOGONAL POLYNOMIALS VIA RECURRENCE RELATIONS
• On Some Polynomials Of Touchard
• Asymptotic Expansions for Second-Order Linear Difference Equations, II
• Linear difference equations with transition points
• Rigorous WKB for Finite-Order Linear Recurrence Relations with Smooth Coefficients
• WKB methods for difference equations I
• Error Bounds for Asymptotic Approximations of Zeros of Transcendental Functions

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