ON THE COMPOSITION OF TRANSCENDENTAL ENTIRE AND MEROMORPHIC FUNCTIONS

Authors
BERGWEILER W
Citation
W. Bergweiler, ON THE COMPOSITION OF TRANSCENDENTAL ENTIRE AND MEROMORPHIC FUNCTIONS, Proceedings of the American Mathematical Society, 123(7), 1995, pp. 2151-2153
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
7
Year of publication
1995
Pages
2151 - 2153
Database
ISI
SICI code
0002-9939(1995)123:7<2151:OTCOTE>2.0.ZU;2-W
Abstract
It is proved that f(g) - R has infinitely many zeros if f is a transce ndental meromorphic, g a transcendental entire, and R a non-constant r ational function. The exponent of convergence of the sequence of zeros of f(g) - R is also estimated.