NORMAL FAMILIES AND DIFFERENTIAL POLYNOMIALS

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杨乐
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[1] Institute of Mathematics
[2] Academic
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<正> Let n,k be two positive integers such that n≥k+ 4 and let a be a finire non-zero complex value. Suppose further that is a family of meronlorphic functions in a region D and that aj(z) (j=1,2,…,k-1) are holomorphic in D. If for every f(z) ∈,fk(z)+sum from j=1 to 1-1 aj(z)fj(z)- af(z)~ndoes not take a finite value(or it has a multiple value with multiplicity greater than[n/n-(k+3)]) and f(z) has a finite non-zero multiple value with multiplicity greater than k in D, then is normal there.
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