Exact Solution of the Sixth Painleve Equation and Exotic Asymptotic Expansion

[1] Erdelyi A., 1955, HIGH TRANSCENDENTAL, V3

[2] Erdelyi A., 1953, Higher transcendental functions, V2

[3] Concerning the linear homogenic differential equations of the second order with three finite singular digits. [J]. MATHEMATISCHE ANNALEN, 1907, 63 : 301 - 321

[4] Golubev V. V., 1950, LECT ANAL THEORY ORD

[5] Goryuchkina, 2010, T MOSCOW MATH SOC, P1, DOI [10.1090/S0077-1554-2010-00186-0, DOI 10.1090/S0077-1554-2010-00186-0]

[6] HITCHIN NJ, 1995, J DIFFER GEOM, V42, P30

[7] Painlevé P, 1906, CR HEBD ACAD SCI, V143, P1111

[8] Picard E., 1889, J. Math. Pures Appl., V5, P135

[9] Shimomura S., 2002, PAINLEVE DIFFERENTIA

[1] Erdelyi A., 1955, HIGH TRANSCENDENTAL, V3

[2] Erdelyi A., 1953, Higher transcendental functions, V2

[3] Concerning the linear homogenic differential equations of the second order with three finite singular digits. [J]. MATHEMATISCHE ANNALEN, 1907, 63 : 301 - 321

[4] Golubev V. V., 1950, LECT ANAL THEORY ORD

[5] Goryuchkina, 2010, T MOSCOW MATH SOC, P1, DOI [10.1090/S0077-1554-2010-00186-0, DOI 10.1090/S0077-1554-2010-00186-0]

[6] HITCHIN NJ, 1995, J DIFFER GEOM, V42, P30

[7] Painlevé P, 1906, CR HEBD ACAD SCI, V143, P1111

[8] Picard E., 1889, J. Math. Pures Appl., V5, P135

[9] Shimomura S., 2002, PAINLEVE DIFFERENTIA