Meromorphic functions sharing small functions

Authors
Citation
K. Ishizaki, Meromorphic functions sharing small functions, ARCH MATH, 77(3), 2001, pp. 273-277
Citations number
11
Categorie Soggetti
Mathematics
Journal title
ARCHIV DER MATHEMATIK
ISSN journal
0003889X → ACNP
Volume
77
Issue
3
Year of publication
2001
Pages
273 - 277
Database
ISI
SICI code
0003-889X(20010903)77:3<273:MFSSF>2.0.ZU;2-9
Abstract
Let f and g be meromorphic functions sharing four small functions a(1), a(2 ), a(3), a(4) ignoring multiplicities. If there is a small function a(5) di stinct from a(j), j = 1, 2, 3, 4, such that (N) over bar (r, f = a(5) = g) not equal S(r, f), then f = g, where (N) over bar (r, f = a(5) = g) is the counting function of those common zeros of f(z) - a(5)(z) and g(z) - a(5)(z ) counted only once ignoring multiplicities.