Normality criteria of zero-free meromorphic functions
Let(F)be a family of non-zero meromorphic functions in region(D),and all polesk are heavy poles,k is a positive integer.h(z)((≠)0,∞)is a homomorphic function in region(D),and all poles are simple poles.If for(V)f ∈ F,(L(f))-h(z),has at most k different zeros(regardless of multiplicity),then(F)is normal in region(D).
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