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Coefficient functions for an inhomogeneous turning-point problem

Part of: Asymptotic theory

Published online by Cambridge University Press:  26 February 2010

P. Baldwin
P. Baldwin
Affiliation:
Department of Engineering Mathematics, The University of Newcastle upon Tyne, Newcastle upon Tyne, NEI 7RU
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Summary

Solutions of the differential equation

for large positive values of the parameter u, are considered for ζ in some domain Δ which includes the turning-point ζ = 0. The functions ψ(ζ) and ω(ζ) are holomorphic for ζ є Δ

MSC classification

Secondary: 34E20: Singular perturbations, turning point theory, WKB methods
Type
Research Article
Information
Mathematika , Volume 38 , Issue 2 , December 1991 , pp. 217 - 238
Copyright
Copyright © University College London 1991

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References

1.Baldwin, P.. Mathematika, 28 (1981), 116–140.CrossRefGoogle Scholar
2.Boyd, W. G. C.. Proc. Roy. Soc. Lond., A140 (1987), 35–60.Google Scholar
3.Clark, R. A.. Arch. Rational Mech. Anal., 12 (1963), 34–51.CrossRefGoogle Scholar
4.Drazin, P. G. and Reid, W. H.. Hydrodynamic Stability (Cambridge, 1981).Google Scholar
5.Olver, F. W. J.. Asymptotics and Special Functions (Academic Press, 1974).Google Scholar
6.Reid, W. H.. Studies in Appl. Math., 51 (1972), 341–368.CrossRefGoogle Scholar