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MR1960811 (2003m:34210) 34M05 (30D05 30D35 34M10 34M55 37K20)
Gromak, Valerii I.; Laine, Ilpo; Shimomura, Shun Painlevé differential equations in the complex plane. de Gruyter Studies in Mathematics, 28. Walter de Gruyter & Co., Berlin, 2002. viii+303 pp. ISBN: 3-11-017379-4
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