Results 61 to 70 of about 115 (110)

Uniqueness of a Meromorphic Function and its Differential Polynomial

, 2014
In this paper, we investigate the problem of uniqueness of a non-constant meromorphic function f and its differential polynomial Q[f] when they share two distinct, non-zero, small meromorphic function IM*, where we have taken the conditions N(r, f) = S(r,
Raj Shree Dhar
core  

On entire solutions of a type of system of complex differential-difference equations with k-th order derivatives

Open Mathematics
In this paper, we consider the entire solutions of the system of Fermat type differential-difference equations with k-th order derivatives(0.1)w1(k)(z)2+p1w2(z+c)2=Q1(z),w2(k)(z)2+p2w1(z+c)2=Q2(z), $$\begin{cases} {\left({w}_{1}^{\left(k\right)}\left(z ...
Zhang Ran-Ran, Chen Chuang-Xin, Liao Jian-Quan   +2 more
doaj   +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 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

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

© Hindawi Publishing Corp. ORDER OF GROWTH OF SOLUTIONS TO ALGEBRAIC DIFFERENTIAL EQUATIONS IN THE UNIT DISK

, 2004
S. B. Bank has shown that there is no uniform growth estimate for meromorphic solutions of algebraic differential equations with meromorphic coefficients in the unit disk.
L. R. Sons, D. Benbourenane
core  

A new result for entire functions and their shifts with two shared values

Open Mathematics
Let ff be a transcendental entire function of hyperorder strictly less than 1, and let cc be a nonzero finite complex number. We prove that if f(z)f\left(z) and f(z+c)f\left(z+c) partially share 0, 1 ignoring multiplicity (i.e., E¯(0,f(z))⊆E¯(0,f(z+c ...
Xu Aizhu, Lin Peiqiang, Chen Shengjiang
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