Derivatives of Meromorphic functions with multiple zeros and elliptic functions
Complex Variables
2011-11-04 v1
Abstract
Let f be a nonconstant meromorphic function in the plane and h be a nonconstant elliptic function. We show that if all zeros of f are multiple exept finitely many and T(r,h)=o{T(r,f)} as r tends to infinity, then f'=h has infinitely many solutions (including poles).
Keywords
Cite
@article{arxiv.1111.0847,
title = {Derivatives of Meromorphic functions with multiple zeros and elliptic functions},
author = {Pai Yang and Shahar Nevo and Xuecheng Pang},
journal= {arXiv preprint arXiv:1111.0847},
year = {2011}
}