A New Singular Direction for Meromorphic Functions Concerning Derivative

2017 ◽  
Vol 42 (5) ◽  
pp. 1975-1991
Author(s):  
Nan Wu
Keyword(s):  
Meromorphic Functions ◽  
Singular Direction

scholarly journals On a new singular direction of meromorphic functions

2004 ◽  
Vol 69 (2) ◽  
pp. 277-287 ◽  
Author(s):  
Guo Hui ◽  
Zheng Jian Hua ◽  
Tuen Wai Ng
Keyword(s):  
Characteristic Function ◽  
Meromorphic Functions ◽  
Comparison Function ◽  
Nevanlinna Characteristic ◽  
Singular Direction

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.

Further investigations on Fujimoto type strong uniqueness polynomials

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5203-5216
Author(s):  
Abhijit Banerjee ◽  
Bikash Chakraborty ◽  
Sanjay Mallick
Keyword(s):  
Meromorphic Functions ◽  
Future Research ◽  
Strong Uniqueness ◽  
Open Questions

Taking the question posed by the first author in [1] into background, we further exhaust-ably investigate existing Fujimoto type Strong Uniqueness Polynomial for Meromorphic functions (SUPM). We also introduce a new kind of SUPM named Restricted SUPM and exhibit some results which will give us a new direction to discuss the characteristics of a SUPM. Moreover, throughout the paper, we pose a number of open questions for future research.

On Fixed Points of Meromorphic Functions f(z) and f(z + c), Δcf(z)

2019 ◽  
Vol 39 (5) ◽  
pp. 1277-1289
Author(s):  
Shuangting Lan ◽  
Zongxuan Chen
Keyword(s):  
Fixed Points ◽  
Meromorphic Functions
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