An elementary method is presented for the WKB equation h²u''(x,h) - Q(x)u(x,h) = 0 that avoids assuming simple turning points or isolated Stokes curves.
Costin, Asymptotics and Borel Summabilty, Mographis and survey in Pure and Applied Mathematics
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Another approach to WKB analysis
An elementary method is presented for the WKB equation h²u''(x,h) - Q(x)u(x,h) = 0 that avoids assuming simple turning points or isolated Stokes curves.