An inequality on the zeros and poles of vector valued meromorphic functions

The author proves that if f:ℂ→ℂnf:ℂ→ℂn is a transcendental vector valued meromorphic 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′)=lim supr→+∞N(r, f′)+N(r, 0, f′)T(r, f′). This result extends the related results for meromorphic function by Singh and Kulkarni.