文献类型：期刊文献

英文题名：On the existence of T-direction of algebroid functions: A problem of J.H. Zheng

作者：Xuan Z.-X.[1]

通讯作者：Xuan, ZX[1]

机构：[1]Beijing Union Univ, Basic Dept, Beijing 100101, Peoples R China

第一机构：北京联合大学基础教学部

通讯机构：[1]corresponding author), Beijing Union Univ, Basic Dept, 97 Bei Si Huan Dong Rd,Choayang Dist, Beijing 100101, Peoples R China.|[1141788]北京联合大学基础教学部;[11417]北京联合大学;

年份：2008

卷号：341

期号：1

起止页码：540-547

外文期刊名：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000253868000043)】；

基金：? The work is supported in part by the National Key Basic Research Project of China Grant No. 2005CB321902. E-mail address: xuanzuxing@ss.buaa.edu.cn.

语种：英文

外文关键词：algebroid function; T-direction; multiple values

摘要：In this paper, we solve a problem of J.H. Zheng (see Problem 5.12 of [J.H. Zheng, On value distribution of meromorphic functions with respect to arguments, preprint]) by proving that for any v-valued algebroid function satisfying lim sup(r ->infinity) T(r, w)/log(2) r = +infinity, there exists a T-direction dealing with multiple values of w(z). (C) 2007 Elsevier Inc. All rights reserved.