Geodesic
A Differential Geometric Characterization of the First Painlevé Transcendent.
Mathematische Annalen, Tome 279 (1987) no. 3, pp. 117-124.

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Mots-clés : first Painlevé transcendent, second order ordinary differential equations, differential invariant 
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     author = {N. Kamran and W.F. Shadwick},
     title = {A {Differential} {Geometric} {Characterization} of the {First} {Painlev\'e} {Transcendent.}},
     journal = {Mathematische Annalen},
     pages = {117--124},
     publisher = {mathdoc},
     volume = {279},
     number = {3},
     year = {1987},
     zbl = {0607.34013},
     url = {http://geodesic.mathdoc.fr/item/MAN_1987__279_3_164310/}
}
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N. Kamran; W.F. Shadwick. A Differential Geometric Characterization of the First Painlevé Transcendent.. Mathematische Annalen, Tome 279 (1987) no. 3, pp. 117-124. http://geodesic.mathdoc.fr/item/MAN_1987__279_3_164310/