Results 41 to 50 of about 929 (107)
Uniqueness theorems for meromorphic mappings sharing hyperplanes in general position
, 2010 The purpose of this article is to study the uniqueness problem for meromorphic mappings from $\mathbb{C}^{n}$ into the complex projective space $\mathbb{P}^{N}(\mathbb{C}).$ By making using of the method of dealing with multiple values due to L. Yang and
Cao, Ting-Bin, Yi, Hong-Xun
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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 escaping sets of some families of entire functions and dynamics of composite entire functions [PDF]
, 2015 We consider two families of functions $\mathcal{F}=\{f_{{\la},{\xi}}(z)= e^{-z+\la}+\xi: \la,\,\xi\in\C, \RE{\la}
Kumar, D.
core
On Littlewood's Constants [PDF]
, 2017 In two papers, Littlewood studied seemingly unrelated constants: (i) the best α such that for any polynomial f, of degree n, the areal integral of its spherical derivative is at most ·nα, and (ii) the extremal growth rate rβ of the length of Green's ...
Beliaev, D., Smirnov, S.
core
On meromorphic functions for sharing two sets and three sets in m-punctured complex plane
Open Mathematics, 2016 In this article, we study the uniqueness problem of meromorphic functions in m-punctured complex plane Ω and obtain that there exist two sets S1, S2 with ♯S1 = 2 and ♯S2 = 9, such that any two admissible meromorphic functions f and g in Ω must be ...
Xu Hong-Yan, Zheng Xiu-Min, Wang Hua
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Annales Mathematicae SilesianaeIn 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
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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
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Uniqueness of meromorphic functions concerning small functions and derivatives-differences
Demonstratio MathematicaIn 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
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Riemann hypothesis is not correct [PDF]
arXiv, 2014 This paper use Nevanlinna's Second Main Theorem of the value distribution theory, we got an important conclusion by Riemann hypothesis. this conclusion contradicts the Theorem 8.12 in Titchmarsh's book "Theory of the Riemann Zeta-functions", therefore we prove that Riemann hypothesis is incorrect.
arxiv
An inequality regarding differential polynomial [PDF]
arXiv, 2020 In this paper, we prove an inequality regarding the differential polynomial. This improves some recent results.
arxiv