Real entire functions with real zeros and a conjecture of Wiman
Complex Variables
2007-05-23 v1 Classical Analysis and ODEs
Abstract
If f is a real entire function and ff" has only real zeros then f belongs to the Laguerre-Polya class, the closure of the set of real polynomials with real zeros. This result completes a long line of development originating from a conjecture of Wiman in 1914.
Cite
@article{arxiv.math/0207229,
title = {Real entire functions with real zeros and a conjecture of Wiman},
author = {Walter Bergweiler and A. Eremenko and J. K. Langley},
journal= {arXiv preprint arXiv:math/0207229},
year = {2007}
}
Comments
17 pages, LaTeX