Acta mathematica scientia, Series B >
AN INEQUALITY ON THE ZEROS AND POLES OF VECTOR VALUED MEROMORPHIC FUNCTIONS
Received date: 2012-07-05
Online published: 2014-03-20
Supported by
The author is supported by the National Natural Science Foundation of China (11201395) and by the Science Foundation of Educational Commission of Hubei Province (Q20132801).
The author proves that if f : C→Cn is a transcendental vector valued mero-morphic function of finite order and assume ∑a∈Cn∪{∞}δ(a) = 2, then,
1 − δ(∞)/2 − δ(∞)≤K(f′) ≤2(1 − δ(∞)/2 − δ(∞),
where
K(f ′) = limsup r→+∞N(r, f ′) + N (r, 0, f′)T(r, f ′).
This result extends the related results for meromorphic function by Singh and Kulkarni.
Key words： Characteristic function; vector valued meromorphic function; zero; pole
WU Zhao-Jun . AN INEQUALITY ON THE ZEROS AND POLES OF VECTOR VALUED MEROMORPHIC FUNCTIONS[J]. Acta mathematica scientia, Series B, 2014 , 34(2) : 380 -386 . DOI: 10.1016/S0252-9602(14)60012-6
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