AN INEQUALITY ON THE ZEROS AND POLES OF VECTOR VALUED MEROMORPHIC FUNCTIONS

作者：Wu Zhaojun^*

来源：Acta Mathematica Scientia, 2014, 34(2): 380-386.

DOI：10.1016/s0252-9602(14)60012-6

• Characteristic function
• vector valued meromorphic function
• zero
• pole

The author proves that if f : C -> C-n is a transcendental vector valued meromorphic function of finite order and assume Sigma(a is an element of Cn boolean OR{infinity}) delta(a) = 2, then,
1- delta(infinity)/2- delta(infinity) <= K(f') <= 2 (1 - delta(infinity)/2 - delta(infinity),
where
K(f') = lim sup(r ->+infinity) N(r, f') + N(r, 0, f')/T(r, f')
This result extends the related results for meromorphic function by Singh and Kulkarni.

• 出版日期2014-3
• 单位湖北科技学院