Atlas home ||
Conferences |
Abstracts |
about Atlas
On zeros of normal functions
by
Maria Nowak
Department of Mathematics Maria Curie-Sklodowska University, Lublin , Poland
Let f be a meromorphic function in the unit disc such that f(0)=1 and let
|
||f||= |
sup
|z| < 1
|
(1-|z|2)|f'(z)|/(1+|f(z)|2) < \infty. |
|
We show that if {zn} is an ordered zero sequence of f, then
|
|
N
Õ
n=1
|
|zn|-1=O(N||f||2/2). |
|
In the proof we will use some properties of
the so-called Ahlfors-Shimizu characteristic.
Date received: May 31, 2001
Copyright © 2001 by the author(s).
The author(s) of this document and the organizers of the conference
have granted their consent to include this abstract in
Atlas Conferences Inc.
Document # cahs-61.