Uniqueness Theorems for Meromorphic Functions That Share Three Sets

2003 ◽  
Vol 48 (4) ◽  
pp. 315-327 ◽  
Author(s):  
Wei-Chuan Lin ◽  
Hong-Xun Yi
Keyword(s):  
Meromorphic Functions ◽  
Uniqueness Theorems

Uniqueness of meromorphic functions sharing two sets with finite weight ii

2010 ◽  
Vol 41 (4) ◽  
pp. 379-392
Author(s):  
Abhijit Banerjee
Keyword(s):  
Present Author ◽  
Meromorphic Functions ◽  
Uniqueness Theorems ◽  
Weighted Sharing

With the help of the notion of weighted sharing of sets we deal with the well known question of Gross and prove some uniqueness theorems on meromorphic functions sharing two sets. Our results will improve and supplement some recent results of the present author.

On Uniqueness of Dirichlet Series

2020 ◽  
Author(s):  
Bao Qin Li
Keyword(s):  
Analytic Continuation ◽  
Dirichlet Series ◽  
Finite Order ◽  
Half Plane ◽  
Complex Plane ◽  
Meromorphic Functions ◽  
Uniqueness Problem ◽  
Uniqueness Theorems

Abstract We give a characterization of the ratio of two Dirichelt series convergent in a right half-plane under an analytic condition, which is applicable to a uniqueness problem for Dirichlet series admitting analytic continuation in the complex plane as meromorphic functions of finite order; uniqueness theorems are given in terms of a-points of the functions.

scholarly journals On the Uniqueness of Meromorphic Functions on Annuli in terms of Deficiencies

2020 ◽  
Vol 2020 ◽  
pp. 1-5
Author(s):  
Dawei Meng ◽  
Nan Lu ◽  
Sanyang Liu
Keyword(s):  
Meromorphic Functions ◽  
Uniqueness Theorems

The purpose of this article is to study the uniqueness of meromorphic functions on annuli. Under a certain condition about deficiencies, we prove some new uniqueness theorems of meromorphic functions on the annulus A=z:1/R0<z<R0, where 1<R0≤+∞.

scholarly journals A uniqueness theorem of algebraically non-degenerate meromorphic maps into PN(C)

1976 ◽  
Vol 64 ◽  
pp. 117-147 ◽  
Author(s):  
Hirotaka Fujimoto
Keyword(s):  
Projective Space ◽  
Uniqueness Theorem ◽  
Complex Projective Space ◽  
Meromorphic Functions ◽  
Uniqueness Theorems ◽  
Meromorphic Maps ◽  
Complex Projective

In the previous paper [3], the author generalized the uniqueness theorems of meromorphic functions given by G. Pólya in [5] and R. Nevanlinna in [4] to the case of meromorphic maps of Cn into the N- dimensional complex projective space PN(C).

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