Abstract. We give a new proof of the fact that any meromorphic solution of a second order Briot--Bouquet differential equation in the whole plane is a degenerate or non-degenerate elliptic function. Our argument does not depend on the first order case.
AMS Subject Classification
(1991): 34A20, 30D05
Keyword(s):
Briot--Bouquet differential equations
Received April 28, 2009, and in revised form August 17, 2010. (Registered under 59/2009.)
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