On zeros of analytic functions satisfying non-radial growth conditions
Complex Variables
2016-03-15 v1 Mathematical Physics
math.MP
Abstract
Extending the results of Borichev--Golinskii--Kupin [2009], we obtain refined Blaschke-type necessary conditions on the zero distribution of analytic functions on the unit disk and on the complex plane with a cut along the positive semi-axis satisfying some non-radial growth restrictions.
Keywords
Cite
@article{arxiv.1603.04104,
title = {On zeros of analytic functions satisfying non-radial growth conditions},
author = {A. Borichev and L. Golinskii and S. Kupin},
journal= {arXiv preprint arXiv:1603.04104},
year = {2016}
}
Comments
18 pages, 3 figures; submitted