Painlev\'e's determinateness theorem extended to proper coverings
Complex Variables
2010-04-27 v3
Abstract
We extend Painlev\'e's determinateness theorem to the case of first order ordinary differential equations in the complex domain with known terms allowed be multivalued in the dependent variable as well; multivaluedness is supposed to be resolved by proper coverings.
Keywords
Cite
@article{arxiv.0901.4689,
title = {Painlev\'e's determinateness theorem extended to proper coverings},
author = {Claudio Meneghini},
journal= {arXiv preprint arXiv:0901.4689},
year = {2010}
}
Comments
v3: 9 pages - AMS LaTex. Exposition improved. Proof of main theorem restructred. Examples added. Main result essentially unchanged. The author is also known by his natural name "Claudi Meneghin" v2 was a failed attempt at replacing v1