Asymptotic expansions for the coefficient functions that arise in turning-point problems

DOI10.1098/RSPA.1987.0027zbMath0614.33011OpenAlexW2123124786MaRDI QIDQ4722356

William G. C. Boyd

Publication date: 1987

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1987.0027

zbMATH Keywords

error boundsturning pointBessel functionsAiry functionsAiry-type expansionsasymptotic expansions of differential equations

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation in the complex plane (30E10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (5)

On the Borel summability of WKB solutions of certain Schrödinger-type differential equations ⋮ Coefficient functions for an inhomogeneous turning‐point problem ⋮ Computation of asymptotic expansions of turning point problems via Cauchy's integral formula: Bessel functions ⋮ Convergent Expansions for Solutions of Linear Ordinary Differential Equations Having a Simple Pole, with an Application to Associated Legendre Functions ⋮ Simplified error bounds for turning point expansions

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