Results 41 to 50 of about 113 (110)

Entire functions that share two pairs of small functions

Open Mathematics, 2021
In this paper, we study the unicity of entire functions and their derivatives and obtain the following result: let ff be a non-constant entire function, let a1{a}_{1}, a2{a}_{2}, b1{b}_{1}, and b2{b}_{2} be four small functions of ff such that a1≢b1{a}_ ...
Huang Xiaohuang, Deng Bingmao, Fang Mingliang   +2 more
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Singular direction of meromorphic functions with finite logarithmic order

Open Mathematics
In this article, we construct filling disks for meromorphic functions of order zero and that way we prove the existence of Borel directions of these functions.
Hu Keqi, Zhang Qingcai
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The properties of solutions for several types of Painlevé equations concerning fixed-points, zeros and poles

Open Mathematics, 2019
The purpose of this manuscript is to study some properties on meromorphic solutions for several types of q-difference equations. Some exponents of convergence of zeros, poles and fixed points related to meromorphic solutions for some q-difference ...
Xu Hong Yan, Zheng Xiu Min
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Entire solutions for several general quadratic trinomial differential difference equations

Open Mathematics, 2021
This paper is devoted to exploring the existence and the forms of entire solutions of several quadratic trinomial differential difference equations with more general forms.
Luo Jun, Xu Hong Yan, Hu Fen
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Meromorphic solutions of certain nonlinear difference equations

Open Mathematics, 2020
This paper focuses on finite-order meromorphic solutions of nonlinear difference equation fn(z)+q(z)eQ(z)Δcf(z)=p(z){f}^{n}(z)+q(z){e}^{Q(z)}{\text{Δ}}_{c}f(z)=p(z), where p,q,Qp,q,Q are polynomials, n≥2n\ge 2 is an integer, and Δcf{\text{Δ}
Liu Huifang, Mao Zhiqiang, Zheng Dan
doaj   +1 more source

Some Further Growth Relationships of Composite Entire and Meromorphic Functions [PDF]

, 2011
The comparative growth properties of composite entire and meromorphic functions with respect to the maximum term of composition of two entire functions are studied in this paper.
Sanjib Kumar Datta, Santonu Savapondit
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  

Uniqueness of a Meromorphic Function and its Differential Polynomial [PDF]

, 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 a question of Gundersen-Yang concerning entire solutions of binomial differential equations

Demonstratio Mathematica
The explicit forms of entire solutions of the binomial differential equationsa(z)f′f″−b(z)(f)2=c(z)e2d(z),a(z)ff′−b(z)(f″)2=c(z)e2d(z), $$a\left(z\right){f}^{\prime }{f}^{{\prime\prime}}-b\left(z\right){\left(f\right)}^{2}=c\left(z\right){e}^{2d\left(z ...
Long Jianren, Xia Mengting, Xiang Xuxu
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Some results on the value distribution of differential polynomials

Open Mathematics, 2023
In this article, we study some results on the value distribution of differential polynomials and mainly prove the following theorem: suppose that PP is a polynomial with degP≥3{\rm{\deg }}\hspace{0.33em}P\ge 3 and ff is a transcendental meromorphic ...
Fan Jinyu, Xiao Jianbin, Fang Mingliang
doaj   +1 more source