Authors
Citation
Jh. Zheng, On the value distribution of iterated entire functions, J AUS MAT A, 66, 1999, pp. 18-31
Citations number
11
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS
ISSN journal
02636115
→ ACNP
Volume
66
Year of publication
1999
Part
1
Pages
18 - 31
Database
ISI
SICI code
0263-6115(199902)66:<18:OTVDOI>2.0.ZU;2-L
Abstract
Let f be a transcendental entire function and denote the n-th Iterate of f
by f(n). For n greater than or equal to 2, we give an explicit estimate of
the number of periodic points of f with period n, that is, fix-points of f(
n) which are not fix-points of f(k) for 1 less than or equal to k < n.