Results 1 to 10 of about 76 (74)

Uniqueness theorems of the Hahn difference operator of entire function with a Picard exceptional value

Open Mathematics, 2023
Let ff be a transcendental entire function of finite order with a Picard exceptional value β∈C\beta \in {\mathbb{C}}, q∈C\{0,1}q\in {\mathbb{C}}\setminus \left\{0,1\right\} and cc are complex constants. The authors prove that Dq,cf(z)−af(z)−a=aa−β,\frac{{
Zhang Xiaomei, Wu Zhaojun
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On meromorphic functions for sharing two sets and three sets in m-punctured complex plane

Open Mathematics, 2016
In this article, we study the uniqueness problem of meromorphic functions in m-punctured complex plane Ω and obtain that there exist two sets S1, S2 with ♯S1 = 2 and ♯S2 = 9, such that any two admissible meromorphic functions f and g in Ω must be ...
Xu Hong-Yan, Zheng Xiu-Min, Wang Hua
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Analytic Properties of the Apostol-Vu Multiple Fibonacci Zeta Functions

Discussiones Mathematicae - General Algebra and Applications, 2020
In this note we study the analytic continuation of the Apostol-Vu multiple Fibonacci zeta functions ζAVF,k(s1,…,sk,sk+1)=∑1 ...
Dutta Utkal Keshari, Ray Prasanta Kumar
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Differential polynomials of L-functions with truncated shared values

Open Mathematics, 2019
In this paper, by using the idea of truncated counting functions, we study the uniqueness of transcendental meromorphic functions and L-functions whose certain nonlinear differential polynomials share one finite nonzero value.
Zhu Wan-Qiong, Chen Jun-Fan
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Uniqueness theorems for L-functions in the extended Selberg class

Open Mathematics, 2018
In this paper, we obtain uniqueness theorems of L-functions from the extended Selberg class, which generalize and complement some recent results due to Li, Wu-Hu, and Yuan-Li-Yi.
Hao Wen-Jie, Chen Jun-Fan
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Uniqueness of meromorphic functions sharing two finite sets

Open Mathematics, 2017
We prove uniqueness theorems of meromorphic functions, which show how two meromorphic functions are uniquely determined by their two finite shared sets. This answers a question posed by Gross.
Chen Jun-Fan
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The uniqueness of meromorphic functions in k-punctured complex plane

Open Mathematics, 2017
The main purpose of this paper is to investigate the uniqueness of meromorphic functions that share two finite sets in the k-punctured complex plane. It is proved that there exist two sets S1, S2 with ♯S1 = 2 and ♯S2 = 5, such that any two admissible ...
Xu Hong Yan, Liu San Yang
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Some results on value distribution concerning Hayman's alternative

Open Mathematics
In this article, we study the value distribution of meromorphic functions concerning Hayman’s alternative. We extend and improve some results due to Zhu [A far-reaching form of Hayman’s inequality; fixed points of meromorphic functions and their ...
Zhuang Xinyu, Zheng Ruilin, He Zhiying, Fang Mingliang   +3 more
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Geometry of transcendental singularities of complex analytic functions and vector fields

Complex Manifolds
On Riemann surfaces MM, there exists a canonical correspondence between a possibly multivalued function ΨX{\Psi }_{X} whose differential is single-valued (i.e. an additively automorphic singular complex analytic function) and a vector field XX.
Alvarez-Parrilla Alvaro, Muciño-Raymundo Jesús   +1 more
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Singular direction of meromorphic functions with finite logarithmic order

Open Mathematics
In this article, we construct filling disks for meromorphic functions of order zero and that way we prove the existence of Borel directions of these functions.
Hu Keqi, Zhang Qingcai
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