Olver's error bound methods applied to linear ordinary differential equations having a simple turning point

DOI10.1142/S0219530514500298zbMath1295.33006OpenAlexW2059878339MaRDI QIDQ5170149

T. M. Dunster

Publication date: 18 July 2014

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

Full work available at URL: https://doi.org/10.1142/s0219530514500298

zbMATH Keywords

ordinary differential equationsturning point theoryBessel and Airy functions

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (2)

ASYMPTOTIC AND CONVERGENT EXPANSIONS FOR SOLUTIONS OF THIRD-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH A LARGE PARAMETER ⋮ Simplified error bounds for turning point expansions

Cites Work

• Asymptotics of the eigenvalues of the rotating harmonic oscillator
• The asymptotic solution of linear differential equations of the second order for large values of a parameter
• Uniform asymptotic expansions of solutions of linear second-order differential equations for large values of a parameter
• Asymptotic behaviour of the inflection points of Bessel functions

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