FURTHER RESULTS ON FIXPOINTS AND ZEROS OF ENTIRE-FUNCTIONS

Authors
ZHENG JH YANG CC
Citation
Jh. Zheng et Cc. Yang, FURTHER RESULTS ON FIXPOINTS AND ZEROS OF ENTIRE-FUNCTIONS, Transactions of the American Mathematical Society, 347(1), 1995, pp. 37-50
Citations number
17
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
347
Issue
1
Year of publication
1995
Pages
37 - 50
Database
ISI
SICI code
0002-9947(1995)347:1<37:FROFAZ>2.0.ZU;2-M
Abstract
In this paper, a quantitative estimation on the number of zeros of the function f o g(z) - alpha(z) is derived, where f and g are transcende ntal entire functions and alpha(z) a nonconstant polynomial. As an app lication of this and a further step towards an affirmative answer to a conjecture of Baker, a quantitative estimation on the number of perio d points of exact order n of f(n) (nth iterate of f) is obtained.