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On Painlevé's equations I, II and IV

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Abstract

We give a new proof of the fact that the solutions of Painlevé's differential equations I, II and IV are meromorphic functions in the complex plane. The method of proof is based on differential inequality techniques.

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Correspondence to Norbert Steinmetz.

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Steinmetz, N. On Painlevé's equations I, II and IV. J. Anal. Math. 82, 363–377 (2000). https://doi.org/10.1007/BF02791235

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  • DOI: https://doi.org/10.1007/BF02791235

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