scholarly journals The Existence of Meromorphic Solutions of Some Types of Systems of Complex Functional Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Hong-Yan Xu ◽  
Jin-Lian Wang ◽  
Hua Wang
Keyword(s):  
Functional Equations ◽  
Meromorphic Solutions ◽  
Complex Functional Equations

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.

scholarly journals Meromorphic solutions of certain types of complex functional equations

ScienceAsia ◽  
2021 ◽  
Vol 47 (4) ◽  
pp. 520
Author(s):  
Zhi-Bo Huang ◽  
Shuang-Ting Lan ◽  
Ran-Ran Zhang
Keyword(s):  
Functional Equations ◽  
Meromorphic Solutions ◽  
Complex Functional Equations

scholarly journals Correction to “Meromorphic solutions of some functional equations”

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

scholarly journals Meromorphic solutions of some functional equations

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

scholarly journals On the growth of compositions of linear and meromorphic functions

1991 ◽  
Vol 44 (2) ◽  
pp. 263-269 ◽  
Author(s):  
Jianyong Qiao
Keyword(s):  
Meromorphic Function ◽  
Asymptotic Behaviour ◽  
Functional Equations ◽  
Meromorphic Functions ◽  
Meromorphic Solutions

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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