On T points of algebroid functions |
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| Authors: | Nan Wu Zu-xing Xuan |
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| Affiliation: | 1.Department of Mathematical Sciences,Tsinghua University,Beijing,People’s Republic of China;2.Beijing Key Laboratory of Information Service Engineering Department of General Education,Beijing Union University,Beijing,People’s Republic of China |
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| Abstract: | In this paper, we firstly give a new definition, namely, the T point of algebroid functions. Then by using Ahlfors’ theory of covering surfaces, we prove the existence of these points for any ν-valued algebroid functions in the unit disk satisfying $mathop {lim sup }limits_{r to 1^ - } frac{{T(r,w)}}
{{log tfrac{1}
{{1 - r}}}} = + infty
$mathop {lim sup }limits_{r to 1^ - } frac{{T(r,w)}}
{{log tfrac{1}
{{1 - r}}}} = + infty
. This extends the recent results of Xuan, Wu and Sun. |
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| Keywords: | |
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