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Solutions of the first and second Painlevé equations are meromorphic

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, 61801, Urbana, IL, USA

    Aimo Hinkkanen

  2. Department of Mathematics, University of Joensuu, P.O. Box 111, FIN-80101, Joensuu, Finland

    Ilpo Laine

Authors
  1. Aimo Hinkkanen
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  2. Ilpo Laine
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Additional information

The research of the first author has been partially supported by the U.S. National Science Foundation grant DMS 94-00999. This research was initiated while the first author was visiting the University of Joensuu, Finland. He wishes to thank the Department of Mathematics for its hospitality.

The research of the second author has been partially supported by the Academy of Finland grant 37701.

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Hinkkanen, A., Laine, I. Solutions of the first and second Painlevé equations are meromorphic. J. Anal. Math. 79, 345–377 (1999). https://doi.org/10.1007/BF02788247

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  • DOI: https://doi.org/10.1007/BF02788247

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