THEOREM B. Let f and g be meromorphic functions such that f and g share. 0, 1, oo CM. If then f-g ..... integer (^2) and α>=cos(2Ï/w)4-2*sin (2Ï/n). If f and g are ...
H.X. YI KODAI MATH. J. 13 (1990), 363—372
MEROMORPHIC FUNCTIONS THAT SHARE TWO OR THREE VALUES BY HONG-XUN Y I
1. Introduction and Main Results. Let f(z) and g{z) be two nonconstant meromorphic functions in the complex plane. If / and g have the same a -points with the same multiplicities, we say / and g share the value a CM. (see [2]). It is assumed that the reader is familiar with the fundamental concepts of Nevanlinna's theory of meromorphic functions and their standard symbols, as found in [3]. It will be convenient to let E denote any set of finite linear measure of 0 f% {II J If
{II J 2ί
(10)
{II J 3
From (6) and (10) we get D=
ft, /'.
fί, r,
and hence N(r, D)-N(r, f*)-N{r, f,)£N(r, g")-N{r, g)=2N(r, g)=2N(r, From (7), (9) and (11) we obtain
