On the Exact Gevrey Order of Formal Puiseux Series Solutions to the Third Painlevé Equation
Author:
Funder
Russian Foundation for Fundamental Investigations
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering
Link
http://link.springer.com/content/pdf/10.1007/s10883-019-09449-2.pdf
Reference17 articles.
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2. Braaksma B. Multisummability of formal power series solutions of nonlinear meromorphic differential equations. Ann Iinst Fourier 1992;42(3):517–40.
3. Costin O. Exponential asymptotics, transseries, and generalized Borel summation for analytic, nonlinear, rank-one systems of ordinary differential equations. Int Math Res Not 1995;1995:377–417.
4. Costin O. On Borel summation and stokes phenomena for rank-1 nonlinear systems of ordinary differential equations. Duke Math J 1998;93:289–344.
5. Costin O. Topological construction of transseries and introduction to generalized Borel summability. Analyzable functions and applications, Contemp, Math., vol 373, Amer Math Soc, Providence, RI; 2005. p. 137–75.
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