Zeros of Normalized Sections of Non Convergent Power Series
Complex Variables
2019-01-28 v1
Abstract
A well known result due to Carlson affirms that a power series with finite and positive radius of convergence R has no Ostrowski gaps if and only if the sequence of zeros of its nth sections is asymptotically equidistributed to {|z|=R}. Here we extend this characterization to those power series with null radius of convergence, modulo some necessary normalizations of the sequence of the sections of f.
Keywords
Cite
@article{arxiv.1901.08721,
title = {Zeros of Normalized Sections of Non Convergent Power Series},
author = {Alberto Dayan},
journal= {arXiv preprint arXiv:1901.08721},
year = {2019}
}