Geodesic
Asymptotic description of the fourth Painleve equation solutions on the Stokes rays analogies
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 8, Tome 169 (1988), pp. 84-90

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It is announced the full description of asymptotic behavior of the fourth Painleve equation solutions in the neighbourhood of irregular singular point $x\to\infty$ on the following directions: $\arg x=\pi/4+\pi\ell/2$, $\ell=-2,-1,0,1$. 
@article{ZNSL_1988_169_a9,
     author = {A. V. Kitaev},
     title = {Asymptotic description of the fourth {Painleve} equation solutions on the {Stokes} rays analogies},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {84--90},
     publisher = {mathdoc},
     volume = {169},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_169_a9/}
}
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A. V. Kitaev. Asymptotic description of the fourth Painleve equation solutions on the Stokes rays analogies. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 8, Tome 169 (1988), pp. 84-90. http://geodesic.mathdoc.fr/item/ZNSL_1988_169_a9/