PAINLEVÉ, PAUL. - INTRODUCING THE PAINLEVÉ TRANSCENDENTS.

Sur les équations differentielles du second ordre à points critiques fixes.

(Paris, Gauthier-Villars), 1906. 4to. No wrappers. In: "Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences", Tome 143, No 26.. Pp. (1110-) 1208. (Entire issue offered). Painlevé's paper: pp. 1111-1117. Frayed in inner margins, poor paperquality.

First apperance of the paper in which Pailevé introduced the transcendents which bears his name.

"The phenomenon of movable singular points was discovered by Fuchs. The study of movable singular points and of nonlinear second orderr equations with and without such singular points was taken up by many men, notably by Paul Painlevé." (Morris Kline "Mathematical Thought from Ancient to Modern Times", p. 737).

Order-nr.: 47894