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On a new singular direction of meromorphic functions

Published online by Cambridge University Press:  17 April 2009

Guo Hui
Affiliation:
Department of Mathematical Education, Normal College, Shenzhen University, Shenzhen, Guangdong 518060Peoples Republic of China e-mail: [email protected], [email protected]
Zheng Jian Hua
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing 100084, Peoples Republic of China e-mail: [email protected]
Tuen Wai Ng
Affiliation:
Department of Mathematics, The University of Hong Kong, Hong Kong, e-mail: [email protected]
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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
Copyright
Copyright © Australian Mathematical Society 2004

References

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