Growth of Meromorphic Solutions to Some Complex Functional Equations

2016 ◽  
Vol 16 (3) ◽  
pp. 489-502 ◽  
Author(s):  
Jie Ding ◽  
Jun Wang ◽  
Zhuan Ye
2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Hong-Yan Xu ◽  
Jin-Lian Wang ◽  
Hua Wang

We investigate the existence of transcendental meromorphic solutions of some types of systems of complex functional equations and obtain some results about the existence of meromorphic solutions of such systems. Our results are improvement of the previous theorems given by Gao, Xu, and Zheng, and our examples show that our results are sharp to some extent.


ScienceAsia ◽  
2021 ◽  
Vol 47 (4) ◽  
pp. 520
Author(s):  
Zhi-Bo Huang ◽  
Shuang-Ting Lan ◽  
Ran-Ran Zhang

1999 ◽  
Vol 6 (4) ◽  
pp. 617-618 ◽  
Author(s):  
Walter Bergweiler ◽  
Katsuya Ishizaki ◽  
Niro Yanagihara

1998 ◽  
Vol 5 (3) ◽  
pp. 248-258 ◽  
Author(s):  
Walter Bergweiler ◽  
Katsuya Ishizaki ◽  
Niro Yanagihara

1991 ◽  
Vol 44 (2) ◽  
pp. 263-269 ◽  
Author(s):  
Jianyong Qiao

Let f(z) be a meromorphic function; we shall investigate the asymptotic behaviour of the ratio T(r, f(z + α))/T(r, f(z)) and T(r, f(αz))/T(r, f(z)), and discuss the growth of the meromorphic solutions of some functional equations.


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