Generalization of a theorem of Clunie and Hayman
Complex Variables
2012-04-16 v1
Abstract
Clunie and Hayman proved that if the spherical derivative of an entire function has order of growth sigma then the function itself has order at most sigma+1. We extend this result to holomorphic curves in projective space of dimension n omitting n hyperplanes in general position.
Keywords
Cite
@article{arxiv.1011.3907,
title = {Generalization of a theorem of Clunie and Hayman},
author = {Matthew Barrett and Alexandre Eremenko},
journal= {arXiv preprint arXiv:1011.3907},
year = {2012}
}
Comments
8 pages