Generalities on the Painlevé equations

Martin Guest; Claus Hertling

doi:10.1007/978-3-319-66526-9_9

Generalities on the Painlevé equations

Martin Guest^*, Claus Hertling

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

The Painlevé equations are six families P_I, P_II, P_III, P_IV, P_V, P_VI of second order differential equations in U = ℂ, ℂ* = ℂ -{0}, or ℂ - {0, 1} of the form f_xx = R(x,f,f_x) where R is holomorphic for x ∈ U and rational in f and f_x.

Original language	English
Title of host publication	Lecture Notes in Mathematics
Publisher	Springer Verlag
Pages	87-92
Number of pages	6
Volume	2198
DOIs	https://doi.org/10.1007/978-3-319-66526-9_9
Publication status	Published - 2017

Publication series

Name	Lecture Notes in Mathematics
Volume	2198
ISSN (Print)	0075-8434

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/978-3-319-66526-9_9

Cite this

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title = "Generalities on the Painlev{\'e} equations",

abstract = "The Painlev{\'e} 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.",

author = "Martin Guest and Claus Hertling",

year = "2017",

doi = "10.1007/978-3-319-66526-9_9",

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AB - 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.

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ER -

Generalities on the Painlevé equations

Abstract

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