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Lateral connections for asymptotic solutions around higher order turning points. (English) Zbl 0303.34044

MSC:
34E20 Singular perturbations, turning point theory, WKB methods for ordinary differential equations
34E05 Asymptotic expansions of solutions to ordinary differential equations
34M99 Ordinary differential equations in the complex domain
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[2] Hanson, R.J; Russell, D.L, Classification and reduction of second order systems at a turning point, J. math. and phys., 46, 74-92, (1967) · Zbl 0207.38501
[3] Heading, J, Phase-integral methods, Methuen’s physical monographs, (1961), London · Zbl 0125.32304
[4] Hsieh, P.F; Sibuya, Y, On the asymptotic integration of second order linear ordinary differential equations with polynomial coefficients, J. math. anal. appl., 16, 84-103, (1966) · Zbl 0161.05803
[5] Lee, R, On uniform simplification of linear differential equations in a full neighborhood of a turning point, J. math. anal. appl., 27, 501-510, (1969) · Zbl 0182.11604
[6] Leung, A, Connection formulas for asymptotic solutions of second order turning points in unbounded domains, SIAM J. math. anal., 4, 89-103, (1973) · Zbl 0252.34063
[7] Sibuya, Y, Uniform simplification in a full neighborhood of a transition point, Univ. of wisconsin-Madison, math. res. center, MRC tech. sum. rep. 1320, (1973)
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