Nevanlinna functions with real zeros
Complex Variables
2009-09-29 v3 Classical Analysis and ODEs
Abstract
We show that for every non-negative integer d, there exist differential equations w''+Pw=0, where P is a polynomial of degree d, such that some non-trivial solution w has all zeros real.
Keywords
Cite
@article{arxiv.math/0310496,
title = {Nevanlinna functions with real zeros},
author = {Alexandre Eremenko and Sergei Merenkov},
journal= {arXiv preprint arXiv:math/0310496},
year = {2009}
}
Comments
20 pages, 5 figures. Some misprints corrected