Authors
Citation
W. Bergweiler, A QUANTITATIVE VERSION OF PICARDS THEOREM, Arkiv for matematik, 34(2), 1996, pp. 225-229
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00042080
Volume
34
Issue
2
Year of publication
1996
Pages
225 - 229
Database
ISI
SICI code
0004-2080(1996)34:2<225:AQVOPT>2.0.ZU;2-7
Abstract
Let f be an entire function of order at least 1/2, M(r)=max(/z/=r)/f(z
)/, and n(r,a) the number of zeros of f(z)-a in /z/less than or equal
to r. It is shown that lim sup(r-->infinity)n(r,a)/log M(r)greater tha
n or equal to 1/2 pi for all except possibly one a is an element of C.