Dissertation > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Theory of functions > Complex analysis,complex function > Integer function theory of meromorphic functions of (semi- pure function theory )

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
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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

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