Results 71 to 80 of about 115 (110)

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

, 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   +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

Infinite growth of solutions of second order complex differential equation

Open Mathematics, 2018
In this paper we study the growth of solutions of second order differential equation f′′ + A(z)f′ + B(z)f = 0. Under certain hypotheses, the non-trivial solution of this equation is of infinite order.
Zhang Guowei
doaj   +1 more source

Nonlinear differential polynomial sharing a nonzero polynomial with certain degree: Dedicated to Professor Ioan A. Rus on the occasion of his 80th anniversary

, 2016
In this paper we study the uniqueness problems of meromorphic functions when certain non-linear dierential polynomial sharing a nonzero polynomial with certain degree.
MAJUMDER, Sujoy, BANERJEE, Abhijit
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

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

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

Existence of zero-order meromorphic solutions of certain q-difference equations. [PDF]

J Inequal Appl, 2018
Du Y, Gao Z, Zhang J, Zhao M.
europepmc   +1 more source

Computation of Nevanlinna characteristic functions derived from generating functions of some special numbers. [PDF]

J Inequal Appl, 2018
Araci S, Acikgoz M.
europepmc   +1 more source

Entire functions sharing a small function with their two difference operators. [PDF]

Adv Differ Equ, 2017
Lü F, Wang Y, Xu J.
europepmc   +1 more source