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Titlebook: Virtual Turning Points; Naofumi Honda,Takahiro Kawai,Yoshitsugu Takei Book 2015 The Author(s) 2015 Borel transformation.a bicharacteristic

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https://doi.org/10.1007/978-4-431-55702-9Borel transformation; a bicharacteristic curve; a new Stokes curve; a virtual turning point; exact WKB a
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Exact WKB Analysis of Non-adiabatic Transition Problems for 3-Levels,s geometry of a higher order ordinary differential equation and/or a system of ordinary differential equations of size greater than two. Once all the non-redundant virtual turning points are provided, then we can explicitly calculate the analytic continuation of solutions of an ordinary differential
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Book 2015core part of its theory together with its application to the analysis of higher order Painlevé equations of the Noumi–Yamada type and to the analysis of non-adiabatic transition probability problems in three levels..As M.V. Fedoryuk once lamented, global asymptotic analysis of higher order different
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