Non-real zeros of derivatives of real meromorphic functions
Complex Variables
2009-03-16 v1 Classical Analysis and ODEs
Abstract
The main result of the paper determines all real meromorphic functions of finite order in the plane for which the first derivative has finitely many zeros, while the function itself and one of its higher derivatives have finitely many non-real zeros.
Keywords
Cite
@article{arxiv.0903.2328,
title = {Non-real zeros of derivatives of real meromorphic functions},
author = {J. K. Langley},
journal= {arXiv preprint arXiv:0903.2328},
year = {2009}
}