We say that two meromorphic functions ? and g on C share the value a in the zeros of ?-a and g-a (1/? and 1/g if a=∞) are the same. In [N], R. Nevanlinna showed the following two results: Theorem A. If two distinct nonconstant meromorpnic functions on C share four values by counting multiplicities, then one is a Mobius transformation of the other. Theorem B. If two nonconstant meromorphic functions on C share five values, then they are identical.
展开▼
