Zeros and coefficients
Complex Variables
2022-09-27 v1
Abstract
Two theorems on the asymptotic distribution of zeros of sequences of analytic functions are proved. First one relates the asymptotic behavior of zeros to the asymptotic behavior of coefficients. Second theorem establishes a relation between the asymptotic behaviors of zeros of a function and zeros of derivative.
Keywords
Cite
@article{arxiv.2209.12022,
title = {Zeros and coefficients},
author = {Alexandre Eremenko},
journal= {arXiv preprint arXiv:2209.12022},
year = {2022}
}
Comments
13 pages