@article{f7da275a096e4035a3ca28622dfc73f1,
title = "Weierstrass Integrability of Complex Differential Equations",
abstract = "We characterize the complex differential equations of the form dydx=an(x)yn+an−1(x)yn−1+⋯+a1(x)y+a0(x), where aj(x) are meromorphic functions in the variable x for j = 0,…,n that admit either a Weierstrass first integral or a Weierstrass inverse integrating factor.",
keywords = "34A34, 34C05, 34C14, Weierstrass first integrals, Weierstrass inverse integrating factor, complex differential equations",
author = "Jaume Llibre and Cl{\`a}udia Valls",
note = "Publisher Copyright: {\textcopyright} 2021, Springer-Verlag GmbH Germany \& The Editorial Office of AMS.",
year = "2021",
month = oct,
doi = "10.1007/s10114-021-8374-4",
language = "English",
volume = "37",
pages = "1497--1506",
journal = "Acta Mathematica Sinica, English Series",
issn = "1439-8516",
publisher = "Springer Verlag",
number = "10",
}