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On a new singular direction of meromorphic functions

Published online by Cambridge University Press:  17 April 2009

Guo Hui ,
Zheng Jian Hua  and
Tuen Wai Ng
Guo Hui
Affiliation:
Department of Mathematical Education, Normal College, Shenzhen University, Shenzhen, Guangdong 518060Peoples Republic of China e-mail: hguo@szu.edu.cn, szuhguo@hotmail.com
Zheng Jian Hua
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing 100084, Peoples Republic of China e-mail: jzheng@math.tsinghua.edu.cn
Tuen Wai Ng
Affiliation:
Department of Mathematics, The University of Hong Kong, Hong Kong, e-mail: ntw@maths.hku.hk
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In this paper, by using Ahlfors' theory of covering surfaces, we establish the existence of a new singular direction for a meromorphic functions f, namely a T direction for f, for which the Nevanlinna characteristic function T(r, f) is used as a comparison function.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 69 , Issue 2 , April 2004 , pp. 277 - 287
Copyright
Copyright © Australian Mathematical Society 2004

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