TY - CHAP

T1 - Generalities on the Painlevé equations

AU - Guest, Martin

AU - Hertling, Claus

PY - 2017

Y1 - 2017

N2 - 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.

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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U2 - 10.1007/978-3-319-66526-9_9

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

M3 - Chapter

AN - SCOPUS:85032027445

VL - 2198

T3 - Lecture Notes in Mathematics

SP - 87

EP - 92

BT - Lecture Notes in Mathematics

PB - Springer Verlag

ER -