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Painlevé III: A Case Study in the Geometry of Meromorphic Connections pp 151–159Cite as

Three Families of Solutions on \(\mathbb{R}_{>0}\)

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2198))

Abstract

In this chapter we are interested in restrictions to \(\mathbb{R}_{>0}\) of solutions of P III (0, 0, 4, −4), which are related to real solutions (possibly with singularities) on \(\mathbb{R}_{>0}\) of one of the following three differential equations:

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  1. Department of Mathematics, Faculty of Science and Engineering, Waseda University, Tokyo, Japan

    Martin A. Guest

  2. Lehrstuhl Für Mathematik VI, Universität Mannheim, Mannheim, Germany

    Claus Hertling

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Guest, M.A., Hertling, C. (2017). Three Families of Solutions on \(\mathbb{R}_{>0}\) . In: Painlevé III: A Case Study in the Geometry of Meromorphic Connections. Lecture Notes in Mathematics, vol 2198. Springer, Cham. https://doi.org/10.1007/978-3-319-66526-9_15

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