Meromorphic solutions of higher order Briot–Bouquet differential equations

By Alexandre Eremenko, L. Liao, T. Ng. Mathematical Proceedings of the Cambridge Philosophical Society, 2007

61 citations recorded by the source corpus.

Abstract For differential equations P(y(k), y)=0, where P is a polynomial, we prove that all meromorphic solutions having at least one pole are elliptic functions, possibly degenerate.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/5d192a4f7b529295647bb9297a076418be258144

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Walter Bergweiler
2. G. Stallard
3. P. Rippon
4. Lasse Rempe

In Computational Theory and Mathematics

1. G. Stallard
2. Walter Bergweiler
3. P. Rippon

In Geometry and Topology

1. Walter Bergweiler
2. G. Stallard
3. P. Rippon
4. Lasse Rempe

Citations in the corpus

• Dynamics of meromorphic functions with direct or logarithmic singularities (2007, background): “2 to complex differential equations is given in [13].”