Results 61 to 70 of about 113 (110)

The description of entire solutions for some class of complex nonlinear partial differential equation (systems) in C2 ${\mathbb{C}}^{2}$

Demonstratio Mathematica
This article focuses on describing the entire solutions of complex nonlinear partial differential equation (systems) with two variables. Utilizing Nevanlinna theory along with the Hadamard factorization theory of meromorphic functions, we derive several ...
Chen Yu Bin, Jiao Xin, Xu Hong Yan
doaj   +1 more source

On solutions of several Fermat-type partial differential-difference equations in C2

Demonstratio Mathematica
In this paper, we study entire solutions of several Fermat-type partial differential-difference equations in C2 ${\mathbb{C}}^{2}$ by applying Nevanlinna theory of meromorphic functions in several complex variables.
Tang Caoqiang, Huang Zhigang
doaj   +1 more source

Complex and p-adic meromorphic functions f' P' (f ), g' P' (g) sharing a small function [PDF]

, 2014
International audienceLet K be a complete algebraically closed p-adic field of characteristic zero. We apply results in algebraic geometry and a new Nevanlinna theorem for p-adic meromorphic functions in order to prove results of uniqueness in value ...
Escassut, Alain, Boussaf, Kamal, Ojeda, Jacqueline   +2 more
core  

Results on solutions of several systems of the product type complex partial differential difference equations

Demonstratio Mathematica
This article is devoted to exploring the solutions of several systems of the first-order partial differential difference equations (PDDEs) with product type u(z+c)[α1u(z)+β1uz1+γ1uz2+α2v(z)+β2vz1+γ2vz2]=1,v(z+c)[α1v(z)+β1vz1+γ1vz2+α2u(z)+β2uz1+γ2uz2]=1 ...
Liu Xiao Lan, Xu Hong Yan, Xu Yi Hui, Li Nan   +3 more
doaj   +1 more source

Solutions of several general quadratic partial differential-difference equations in ℂ2

Demonstratio Mathematica
In this article, we have introduced general transformation to solving the general quadratic equations. It is of interest to know about the existence and form of the solutions of general quadratic functional equations.
Ahamed Molla Basir, Mandal Sanju
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

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

Study on solutions of the systems of complex product-type PDEs with more general forms in ℂ2

Open Mathematics
With the help of the Nevanlinna theory and the Hadamard factorization theory of meromorphic functions, we mainly give a description of the existence and the forms of the transcendental entire solutions of several product-type complex partial differential
Li Hong, Luo Zhao Sheng, Xu Hong Yan
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

A study of solutions for several classes of systems of complex nonlinear partial differential difference equations in ℂ2

Demonstratio Mathematica
This article is devoted to describing the entire solutions of several systems of the first-order nonlinear partial differential difference equations (PDDEs).
Jiao Xin, Chen Yu Bin, Xu Hong Yan
doaj   +1 more source