On the Normality of Meromorphic Functions Related to Shared Values |
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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