References
P. Painleve, Acta Math. 25, 1–26 (1902).
B. Gambier, Acta Math. 33, 1–55 (1910).
R. Garnier, Ann. Ecole Norm. 34(3), 243–353 (1917).
R. Fuchs, C. R. Acad. Sci. 141, 555–558 (1905).
I. V. Gromak, I. Laine, and S. Shimomura, Painlevé Differential Equations in the Complex Plain (Walter de Gruyter, Berlin, 2002).
M. Mazzocco, Math. Ann. 321, 157–195 (2001).
D. Guzzetti, Math. Phys., Anal. Geom. 4, 293–377 (2001).
A. D. Bruno, Russ. Math. Surv. 59, 429–480 (2004) [Usp. Mat. Nauk 59 (3), 31–80 (2004)].
A. D. Bruno, Dokl. Math. 73, 117–120 (2006) [Dokl. Akad. Nauk 406, 730–733 (2006)].
A. D. Bruno, Dokl. Math. 76, (2007) [Dokl. Akad. Nauk 416, 583–587 (2007)].
A. D. Bruno and I. V. Goryuchkina, Dokl. Math. 69, 268–272 (2004) [Dokl. Akad. Nauk 395, 733–737 (2004)].
A. D. Bruno and I. V. Goryuchkina, Dokl. Math. 74, 660–665 (2006) [Dokl. Akad. Nauk 410, 331–334 (2006)].
A. D. Bruno and I. V. Goryuchkina, Preprint No. 2, IPM RAN (Keldysh Inst. of Applied Mathematics, Russian Academy of Sciences, Moscow, 2006).
A. D. Bruno and I. V. Goryuchkina, Preprint No. 13, IPM RAN (Keldysh Inst. of Applied Mathematics, Russian Academy of Sciences, Moscow, 2006).
I. V. Goryuchkina, Preprint No. 3, IPM RAN (Keldysh Inst. of Applied Mathematics, Russian Academy of Sciences, Moscow, 2007).
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Original Russian Text © A.D. Bruno, I.V. Goryuchkina, 2007, published in Doklady Akademii Nauk, 2007, Vol. 417, No. 3, pp. 298–302.
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Bruno, A.D., Goryuchkina, I.V. All asymptotic expansions of solutions to the sixth Painlevé equation. Dokl. Math. 76, 851–855 (2007). https://doi.org/10.1134/S1064562407060129
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DOI: https://doi.org/10.1134/S1064562407060129