On some sufficient conditions of strong uniqueness polynomials [PDF]
In this paper we shall find some sufficient conditions for a uniqueness polynomial to be a strong uniqueness polynomial, as this type of problem was never investigated by researchers earlier.We also exhibit some examples to substantiate our theorems.
arxiv +1 more source
Untangling the threads of conservation: A closer look at restoration and preservation
Now that the Global Biodiversity Framework has just been set, there is a critical need to recognize their fundamental differences between the types of places that are priorities for preservation, restoration or both to make collective actions for achieving the targets and goals for nature and people.
Akira S. Mori, Forest Isbell
wiley +1 more source
A Note on the value distribution of a differential monomial and some normality criteria [PDF]
In this paper, we prove some value distribution results which lead to some normality criteria for a family of analytic functions. These results improve some recent results.
arxiv
Singular direction of meromorphic functions with finite logarithmic order
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
doaj +1 more source
Meromorphic functions with three singular values [PDF]
The minimal possible rate of growth of a meromorphic function with three critical values is found.
arxiv
Distribution of Normalized Zero-Sets of Random Entire Functions with Small Random Perturbation [PDF]
In this paper, we extend our earlier result (see [Y-2008]) on the distribution of normalized zero-sets of random entire functions to random entire functions with small random perturbation.
arxiv
$Q_α$-Normal Families and entire functions [PDF]
For every countable ordinal number $\alpha$ we construct an entire function $f=f_\alpha$ such that the family $\left\{f(nz):n\in\mathbb{N}\right\}$ is exactly $Q_\alpha$-normal in the unit disk.
arxiv
Simultaneous stabilization, avoidance and Goldberg's constants [PDF]
This is an exposition for mathematicians of some unsolved problems arising in control theory of linear time-independent systems.
arxiv
Uniqueness of differential polynomials sharing one value [PDF]
We prove some uniqueness results which improve and generalize results of Jiang-Tao Li and Ping Li[Uniqueness of entire functions concerning differential polynomials. Commun. Korean Math. Soc. 30 (2015), No. 2, pp. 93-101].
arxiv
On the value distribution of the Riemann zeta-function and the Euler gamma-function [PDF]
We prove some uniqueness results for the Riemann zeta-function and the Euler gamma-function by virtue of shared values using the value distribution theory.
arxiv