On the Normality of Meromorphic Functions Related to Shared Values 

Author  WangChengBing 
Tutor  PangXueCheng 
School  East China Normal University 
Course  Basic mathematics 
Keywords  Meromorphic functions Regular Zero Heavy duty Shared value 
CLC  O174.52 
Type  Master's thesis 
Year  2010 
Downloads  14 
Quotes  0 
Let k is a positive integer , b is a nonzero finite complex , F is a family of meromorphic functions in a domain D . Zeros of each function class is at least k 2 , for any two functions f in F and g, f (k) and g (k) shared in D b, f ( k ) ( z ) = b ( ? )  f (z )  ≥ c ( wherein c GT ; 0 is a constant ) , then F within the region D formal. Let k is a positive integer , F is a family of meromorphic functions within the region D where each function zeros stage at least is k 2 , if present, g ∈ F such that for any F, a function f , a f (z) = 0 (?) g (z) = 0, f (K) (z) = 1 (?) g (k) (z) = 1, then F is normal in the region D