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All asymptotic expansions of solutions to the sixth Painlevé equation

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References

  1. P. Painleve, Acta Math. 25, 1–26 (1902).

    Article  MathSciNet  Google Scholar 

  2. B. Gambier, Acta Math. 33, 1–55 (1910).

    Article  MathSciNet  Google Scholar 

  3. R. Garnier, Ann. Ecole Norm. 34(3), 243–353 (1917).

    MathSciNet  Google Scholar 

  4. R. Fuchs, C. R. Acad. Sci. 141, 555–558 (1905).

    Google Scholar 

  5. I. V. Gromak, I. Laine, and S. Shimomura, Painlevé Differential Equations in the Complex Plain (Walter de Gruyter, Berlin, 2002).

    Google Scholar 

  6. M. Mazzocco, Math. Ann. 321, 157–195 (2001).

    Article  MATH  MathSciNet  Google Scholar 

  7. D. Guzzetti, Math. Phys., Anal. Geom. 4, 293–377 (2001).

    Article  MATH  MathSciNet  Google Scholar 

  8. A. D. Bruno, Russ. Math. Surv. 59, 429–480 (2004) [Usp. Mat. Nauk 59 (3), 31–80 (2004)].

    Article  MathSciNet  Google Scholar 

  9. A. D. Bruno, Dokl. Math. 73, 117–120 (2006) [Dokl. Akad. Nauk 406, 730–733 (2006)].

    Article  Google Scholar 

  10. A. D. Bruno, Dokl. Math. 76, (2007) [Dokl. Akad. Nauk 416, 583–587 (2007)].

    Google Scholar 

  11. A. D. Bruno and I. V. Goryuchkina, Dokl. Math. 69, 268–272 (2004) [Dokl. Akad. Nauk 395, 733–737 (2004)].

    Google Scholar 

  12. A. D. Bruno and I. V. Goryuchkina, Dokl. Math. 74, 660–665 (2006) [Dokl. Akad. Nauk 410, 331–334 (2006)].

    Article  Google Scholar 

  13. A. D. Bruno and I. V. Goryuchkina, Preprint No. 2, IPM RAN (Keldysh Inst. of Applied Mathematics, Russian Academy of Sciences, Moscow, 2006).

  14. A. D. Bruno and I. V. Goryuchkina, Preprint No. 13, IPM RAN (Keldysh Inst. of Applied Mathematics, Russian Academy of Sciences, Moscow, 2006).

  15. I. V. Goryuchkina, Preprint No. 3, IPM RAN (Keldysh Inst. of Applied Mathematics, Russian Academy of Sciences, Moscow, 2007).

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Correspondence to A. D. Bruno.

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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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