Acta mathematica scientia, Series B >
SOME NORMALITY CRITERIA OF MEROMORPHIC FUNCTIONS
Received date: 2012-05-13
Revised date: 2013-01-01
Online published: 2013-11-20
Supported by
Supported by the NNSF of China (11071083), the Tianyuan Foundation (11126267).
Let F be a family of functions meromorphic in a domain D, let n ≥ 2 be a positive integer, and let a ≠ 0, b be two finite complex numbers. If, for each f ∈ F, all of whose zeros have multiplicity at least k + 1, and f + a(f(k))n ≠ b in D, then F is normal in D.
Key words： meromorphic function; value distribution; normal families
LEI Chun-Lin , FANG Ming-Liang , ZENG Cui-Ping . SOME NORMALITY CRITERIA OF MEROMORPHIC FUNCTIONS[J]. Acta mathematica scientia, Series B, 2013 , 33(6) : 1667 -1674 . DOI: 10.1016/S0252-9602(13)60113-7
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