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## On Divergence of Puiseux Series Asymptotic Expansions of Solutions to the Third Painlevé Equation

math. arxive. Cornell University, 2017. No. 1702.05758.
Parusnikova A., Vasilyev A. V.
In this paper we present a family of values of the parameters of the third Painlevé equation such that Puiseux series formally satisfying this equation -- considered as series of z^{2/3} -- are series of exact Gevrey order one. We prove the divergence of these series and provide analytic functions which are approximated by them in sectors with the vertices at infinity.