Generalities on the Painlevé equations

Martin Guest, Claus Hertling

    Research output: Chapter in Book/Report/Conference proceedingChapter


    The Painlevé equations are six families PI, PII, PIII, PIV, PV, PVI of second order differential equations in U = ℂ, ℂ* = ℂ -{0}, or ℂ - {0, 1} of the form fxx = R(x,f,fx) where R is holomorphic for x ∈ U and rational in f and fx.

    Original languageEnglish
    Title of host publicationLecture Notes in Mathematics
    PublisherSpringer Verlag
    Number of pages6
    Publication statusPublished - 2017

    Publication series

    NameLecture Notes in Mathematics
    ISSN (Print)0075-8434

    ASJC Scopus subject areas

    • Algebra and Number Theory

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