Results 61 to 70 of about 356 (101)

Meromorphic solutions of Painlevé III difference equations with Borel exceptional values

, 2014
In this paper, we investigate the properties of meromorphic solutions of Painlevé III difference equations. In particular, the difference equation w¯w̲w(w−1)=μ with μ being a non-zero constant is studied.
Jilong Zhang
semanticscholar   +1 more source

Characterizations of transcendental entire solutions of trinomial partial differential-difference equations in ℂ2#

Demonstratio Mathematica
This study is devoted to exploring the existence and the precise form of finite-order transcendental entire solutions of second-order trinomial partial differential-difference equations L(f)2+2hL(f)f(z1+c1,z2+c2)+f(z1+c1,z2+c2)2=eg(z1,z2)L{(f)}^{2}+2hL(f)
Xu Hong Yan, Haldar Goutam
doaj   +1 more source

On the value distribution and uniqueness of difference polynomials of meromorphic functions

, 2013
In this paper, we study the zeros of difference polynomials of meromorphic functions of the forms (P(f)∏j=1df(z+cj)sj)(k)−α(z),(P(f)∏j=1d[f(z+cj)−f(z)]sj)(k)−α(z), where P(f) is a nonzero polynomial of degree n, cj∈C∖{0} (j=1,…,d) are distinct ...
H. Xu
semanticscholar   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

The general traveling wave solutions of the Fisher type equations and some related problems

, 2014
In this article, we introduce two recent results with respect to the integrality and exact solutions of the Fisher type equations and their applications. We obtain the sufficient and necessary conditions of integrable and general meromorphic solutions of
W. Yuan, B. Xiao, Yonghong Wu, Jianming Qi   +3 more
semanticscholar   +1 more source

Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts

Open Mathematics, 2019
In this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift ...
Chen Hai-Ying, Zheng Xiu-Min
doaj   +1 more source

A Simple Proof of the Chuang’s Inequality

Annals of the West University of Timisoara: Mathematics and Computer Science, 2017
The purpose of this paper is to present a short proof of the Chuang’s inequality.
Chakraborty Bikash
doaj   +1 more source

Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations

Open Mathematics, 2016
In this paper, we investigate the value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations, and obtain the results on the relations between the order of the solutions and the ...
Luo Li-Qin, Zheng Xiu-Min
doaj   +1 more source

The clinical effectiveness of REGEN-COV in SARS-CoV-2 infection with Omicron versus Delta variants. [PDF]

PLoS One, 2022
Gershengorn HB, Patel S, Ferreira T, Das S, Parekh DJ, Shukla B.   +5 more
europepmc   +1 more source