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 -