On the growth of an algebroid function with radially distributed values

2015 ◽  
Vol 113 (1) ◽  
pp. 65-80
Author(s):  
Nan Wu ◽  
Jian Hua Zheng
Keyword(s):  
Author(s):  
Kari Katajamäki

AbstractHayman has shown that if f is a transcendental meromorphic function and n ≽ 3, then fn f′ assumes all finite values except possibly zero infinitely often. We extend his result in three directions by considering an algebroid function ω, its monomial ωn0 ω′n1, and by estimating the growth of the number of α-points of the monomial.


2011 ◽  
Vol 62 (1-2) ◽  
pp. 219-219
Author(s):  
Nan Wu ◽  
Zu-xing Xuan
Keyword(s):  

2008 ◽  
Vol 78 (1) ◽  
pp. 147-156 ◽  
Author(s):  
ZHAOJUN WU ◽  
DAOCHUN SUN

AbstractUsing Ahlfors’ theory of covering surfaces, we prove the existence theorem for the T direction for algebroid functions dealing with multiple values which extends the results proved by Guo, Zheng and Ng and answers a question by Wang, Giao and the present authors.


2011 ◽  
Vol 62 (1-2) ◽  
pp. 89-101 ◽  
Author(s):  
Nan Wu ◽  
Zu-xing Xuan
Keyword(s):  

1969 ◽  
Vol 21 (3) ◽  
pp. 277-280 ◽  
Author(s):  
Masanobu Tsuzuki
Keyword(s):  

1970 ◽  
Vol 22 (2) ◽  
pp. 178-187 ◽  
Author(s):  
Kiyoshi Niino ◽  
Mitsuru Ozawa
Keyword(s):  

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