Results 31 to 40 of about 577 (96)

On dynamics of semiconjugated entire functions [PDF]

, 2014
Let $g$ and $h$ be transcendental entire functions and let $f$ be a continuous map of the complex plane into itself with $f\circ g=h\circ f.$ Then $g$ and $h$ are said to be semiconjugated by $f$ and $f$ is called a semiconjugacy.
Kumar, Dinesh
core  

Normal families of meromorphic functions sharing values or functions

Journal of Inequalities and Applications, 2011
In this paper, we investigate the normal families of meromorphic functions concerning shared values and shared analytic functions and prove some normal criteria that generalize or extend some results obtained by Q. C. Zhang, Y. T. Li and Y. X. Gu, J.
Jiang Yunbo, Gao Zongsheng
doaj  

Entire solutions of two certain Fermat-type ordinary differential equations

Open Mathematics, 2023
In this article, we investigate the precise expression forms of entire solutions for two certain Fermat-type ordinary differential equations: (a0f+a1f′)2+(a0f+a2f′)2=p{\left({a}_{0}f+{a}_{1}{f}^{^{\prime} })}^{2}+{\left({a}_{0}f+{a}_{2}{f}^{^{\prime} })}^
Hu Binbin, Yang Liu
doaj   +1 more source

The Gauss map and total curvature of complete minimal Lagrangian surfaces in the complex two-space [PDF]

, 2015
The purpose of this paper is to reveal the relationship between the total curvature and the global behavior of the Gauss map of a complete minimal Lagrangian surface in the complex two-space. To achieve this purpose, we show the precise maximal number of
Aiyama, Reiko, Akutagawa, Kazuo, Kawakami, Yu   +2 more
core  

Value distribution of the sequences of the derivatives of iterated polynomials

, 2016
We establish the equidistribution of the sequence of the averaged pullbacks of a Dirac measure at any value in $\mathbb{C}\setminus\{0\}$ under the derivatives of the iterations of a polynomials $f\in\mathbb{C}[z]$ of degree more than one towards the $f$-
Okuyama, Yûsuke
core   +1 more source

Some results about a special nonlinear difference equation and uniqueness of difference polynomial

Journal of Inequalities and Applications, 2011
In this paper, we continue to study a special nonlinear difference equation solutions of finite order entire function. We also continue to investigate the value distribution and uniqueness of difference polynomials of meromorphic functions.
Ding Jie, Zhu Taiying, Qi Jianming
doaj  

On Transcendental Entire Solution of Fermat-Type Trinomial and Binomial Equations Under Restricted Hyper-Order

Annales Mathematicae Silesianae
In this paper we are focusing on finding the transcendental entire solution of Fermat-type trinomial and binomial equations, by restricting the hyper-order to be less than one.
Banerjee Abhijit, Sarkar Jhuma
doaj   +1 more source

Uniqueness of meromorphic functions concerning small functions and derivatives-differences

Demonstratio Mathematica
In this article, we study the unicity of meromorphic functions concerning small functions and derivatives-differences. The results obtained in this article extend and improve some results of Chen et al.
He Zhiying, Fang Mingliang, Xiao Jianbin
doaj   +1 more source

On the equation fn + (f″)m ≡ 1

Demonstratio Mathematica, 2023
Let nn and mm be two positive integers, and the second-order Fermat-type functional equation fn+(f″)m≡1{f}^{n}+{({f}^{^{\prime\prime} })}^{m}\equiv 1 does not have a nonconstant meromorphic solution in the complex plane, except (n,m)∈{(1,1),(1,2),(1,3 ...
Dang Guoqiang
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