MEROMORPHIC FUNCTIONS WITH SMALL RAMIFICATION

Authors
EREMENKO A
Citation
A. Eremenko, MEROMORPHIC FUNCTIONS WITH SMALL RAMIFICATION, Indiana University mathematics journal, 42(4), 1993, pp. 1193-1218
Citations number
24
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Indiana University mathematics journal → ACNP
ISSN journal
00222518
Volume
42
Issue
4
Year of publication
1993
Pages
1193 - 1218
Database
ISI
SICI code
0022-2518(1993)42:4<1193:MFWSR>2.0.ZU;2-V
Abstract
Let f be a meromorphic function in the plane and N1(r) stands for the Nevanlinna counting function of critical points of f. We obtain a comp lete description of functions f of finite lower order with the propert y N1(r) = o(T(r)), r --> infinity. In particular, we show that this pr operty is equivalent to SIGMA(alpha is-an-element-of CBAR) delta(a, f) = 2.