Meromorphic function of infinite order with maximum deficiency sum

Kodai Mathematical Journal

Weiling Xiong¹ 

[1] DEPARTMENT OF INFORMATION AND COMPUTING SCIENCE GUANGXI INSTITUTE OF TECHNOLOGY

关键词: meromorphic function;    infinite order;    maximum deficiency sum;   

DOI  :  10.2996/kmj/1093351318

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(9)In this paper we prove the following theorem: Let f(z) be a meromorphic function of infinite order. If Σa≠∞δ(a, f)+δ(∞, f)=2, then for each positive integer k, we have K(f(k))=2k(1−δ(∞, f))/(1+k−kδ(∞, f)), where K(f(k))=limr→∞(N(r, 1/f(k))+N(r, f(k)))/T(r, f(k)) exists. This result improves the results by S. K. Singh and V. N. Kulkarni [1] and Mingliang Fang [2].

【 授权许可】

Unknown