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MR2120830 (2005k:34348) 34M55 (33E17)
Kitaev, A. V. Quadratic transformations for the third and fifth Painlevé equations. (Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 317 (2004), Vopr. Kvant. Teor. Polya i Stat. Fiz. 18, 105--121, 215; translation in J. Math. Sci. (N. Y.) 136 (2006), no. 1, 3586--3595
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