Composite meromorphic functions and growth of the spherical derivative

Citation
D. Bargmann et W. Bergweiler, Composite meromorphic functions and growth of the spherical derivative, J MATH ANAL, 257(2), 2001, pp. 274-281
Citations number
33
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
257
Issue
2
Year of publication
2001
Pages
274 - 281
Database
ISI
SICI code
0022-247X(20010515)257:2<274:CMFAGO>2.0.ZU;2-P
Abstract
Let f and h be transcendental meromorphic and g a transcendental entire fun ction. It is shown that if h grows slower than g in a suitable sense, then there exists an unbounded sequence (z(n)) such that f(g(z(n))) = h(z(n)). ( C) 2001 Academic Press.