## Meromorphic functions that share one or two values.(English)Zbl 0841.30027

In this paper, the author continues his researches on the relationships of two nonconstant meromorphic functions $$f,g$$ that share one or two values $$CM$$. It is shown that if $$f$$ and $$g$$ share $$ICM$$ satisfying the condition: $\lim_{r \in I} \sup N_2 (r, 1/f) + N_2 (1,f) + N_2 (r, 1/g) + N_2 (r, g)/T(r) < 1,$ where $$T(r) = \max \{T(r, f), T(r, g)\}$$ and $$I$$ is a set of $$r$$ values of infinite linear measure, then $$f \equiv g$$ or $$fg \equiv 1$$. With slight variation of the above condition, the same conclusions hold when $$f$$ and $$g$$ share $$1, \infty \subset M$$.

### MSC:

 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

### Keywords:

Möbius transformation; lacunary; share value
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