Fixed singular point

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A common singular point of all solutions of a differential equation (where is an analytic function), regarded as functions of a complex variable , the initial conditions of which range over a certain domain in the -space.


[1] V.V. Golubev, "Vorlesungen über Differentialgleichungen im Komplexen" , Deutsch. Verlag Wissenschaft. (1958) (Translated from Russian)
How to Cite This Entry:
Fixed singular point. Yu.S. Il'yashenko (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098