Results 51 to 60 of about 577 (96)

Non-Archimedean meromorphic solutions of functional equations

, 2013
In this paper, we discuss meromorphic solutions of functional equations over non-Archimedean fields, and prove analogues of the Clunie lemma, Malmquist-type theorem and Mokhon'ko ...
Hu, Pei-Chu, Luan, Yong-Zhi
core  

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

Entire Functions Sharing Small Functions With Their Difference Operators

, 2015
We investigate uniqueness problems for an entire function that shares two small functions of finite order with their difference operators.
Belaidi, Benharrat, Farissi, Abdallah El, Latreuch, Zinelâabidine   +2 more
core   +1 more source

Value distribution and potential theory

, 2002
We describe some results of value distribution theory of holomorphic curves and quasiregular maps, which are obtained using potential theory. Among the results discussed are: extensions of Picard's theorems to quasiregular maps between Riemannian ...
Eremenko, Alexandre
core   +2 more sources

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
doaj   +1 more source

Non-real zeros of linear differential polynomials in real meromorphic functions

, 2019
It is shown that if $f$ or $1/f$ is a real entire function of infinite order of growth, with only real zeros, then $f''+\omega f$ has infinitely many non-real zeros for any $\omega > 0$.Comment: updated 27/09 ...
Langley, J. K.
core  

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

Results on the deficiencies of some differential-difference polynomials of meromorphic functions

Open Mathematics, 2016
In this paper, we study the relation between the deficiencies concerning a meromorphic function f(z), its derivative f′(z) and differential-difference monomials f(z)mf(z+c)f′(z), f(z+c)nf′(z), f(z)mf(z+c).
Zheng Xiu-Min, Xu Hong-Yan
doaj   +1 more source

The existence of solutions to certain type of nonlinear difference-differential equations

Open Mathematics, 2018
In this paper we study the entire solutions to a certain type of difference-differential equations. We also give an affirmative answer to the conjecture of Zhang et al.
Lü Weiran, Wu Linlin, Wang Dandan, Yang Chungchun   +3 more
doaj   +1 more source

Some results on uniqueness and higher order difference equations

Open Mathematics
In this article, we mainly study the solution of higher order difference equations. We solve some questions posed by Chen and Xu [Uniqueness on entire functions and their nth order exact differences with two shared values, Open Math. 18 (2020), no.
An Jia, Zhang Haiying, Wang Ge, Fang Mingliang   +3 more
doaj   +1 more source