Meromorphic solutions of second order Briot-Bouquet differential equations which are obtained not through the first order case

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.

Elmentve itt :
Bibliográfiai részletek
Szerzők: Abe Yukitaka
Kogie Atsuko
Dokumentumtípus: Cikk
Megjelent: Bolyai Institute, University of Szeged Szeged 2011
Sorozat:Acta scientiarum mathematicarum 77 No. 3-4
Kulcsszavak:Matematika, Briot-Bouquet differenciálegyenlet - másodrendű
Tárgyszavak:
Online Access:http://acta.bibl.u-szeged.hu/16397
Leíró adatok
Tartalmi kivonat: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.
Terjedelem/Fizikai jellemzők:439-443
ISSN:0001-6969