检索结果-南通市图书馆

Uniqueness of entire function Related to Shared Set

在线全文

学校读者我要写书评

暂无评论

Journal of Mathematical Research and Exposition 2011年第6期31卷 1015-1020页

作者： Dong XIE Qing De ZHANG Department of Science Bozhou Teachers CollegeAnhui 236800P.R.China College of Mathematics Chengdu University of Information TechnologySichuan 610225P.R.China

In this paper,uniqueness of entire function related to shared set is studied.Let f be a non-constant entire function and k be a positive integer,d be a finite complex number.There exists a set S with 3 elements such that if f and its derivative f（k）satisfy E（S,f）= E（S,f（k））,and the zeros of f（z）-d are of multiplicity ≥ k ＋ 1,then f = f（k）.

关键词： entire function normality uniqueness shared set derivative

Iterative analytic extension in tomographic imaging

在线全文

学校读者我要写书评

暂无评论

Visual Computing for Industry,Biomedicine,and Art 2022年第1期5卷 44-56页

作者： Gengsheng L.Zeng Department of Computer Science Utah Valley UniversityOremUT 84058USA Department of Radiology and Imaging Sciences University of UtahSalt Lake CityUT 84108USA

If a spatial-domain function has a finite support,its Fourier transform is an entire function.The Taylor series expansion of an entire function converges at every finite point in the complex plane.The analytic continuation theory suggests that a finite-sized object can be uniquely determined by its frequency components in a very small neighborhood.Trying to obtain such an exact Taylor expansion is difficult.This paper proposes an iterative algorithm to extend the measured frequency components to unmeasured regions.Computer simulations show that the proposed algorithm converges very slowly,indicating that the problem is too ill-posed to be practically solvable using available methods.

关键词： Analytic continuation entire function Iterative projections onto convex sets algorithm Image reconstruction Limited angle tomography

entire functions arising from trees

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Science China Mathematics 2021年第10期64卷 2231-2248页

作者： Weiwei Cui Center for Mathematical Sciences Lund UniversityLund 22100Sweden

Given any infinite tree in the plane satisfying certain topological conditions,we construct an entire function f with only two critical values±1 and no asymptotic values such that f-1([-1,1])is ambiently homeomorphic to the given tree.This can be viewed as a generalization of the result of Grothendieck(see Schneps(1994))to the case of infinite trees.Moreover,a similar idea leads to a new proof of the result of Nevanlinna(1932)and Elfving(1934).

关键词： entire function tree Shabat Riemann surface the type problem

Normality Criteria of Meromorphic functions Concerning Shared Analytic function

在线全文

学校读者我要写书评

暂无评论

Communications in Mathematical Research 2016年第1期32卷 47-56页

作者： YANG QI School of Mathematics Science Xinjiang Normal University

In this paper, we use Pang-Zalcman lemma to investigate the normal family of meromorphic functions concerning shared analytic function, which improves some earlier related results.

关键词： meromorphic function entire function shared function normal family

ESTIMATES FOR THE HYPER-ORDER OF SOLUTIONS OF CERTAIN LINEAR DIFFERENTIAL EQUATIONS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2008年第2期28卷 393-400页

作者：江良英陈宗煊 Wuhan Institute of Physics and Mathematics the Chinese Academy of Sciences Department of Mathematics South China Normal University

In this article, the authors study the growth of certain second order linear differential equation f″＋A（z）f′＋B（z）f=0 and give precise estimates for the hyperorder of solutions of infinite order. Under similar ... 详细信息

关键词： Linear differential equation entire function hyper-order genus

On the Growth of Solutions of Second Order Linear Differential Equations with Extremal Coefficients

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2013年第2期29卷 365-372页

作者： Jian Ren LONG Peng Cheng WU Zheng ZHANG School of Mathematics and Computer Science Guizhou Normal University

In this paper, we consider the differential equation f＂＋ A（z）f＇＋ B（z）f = 0, where A and B= 0 are entire functions. Assume that A is extremal for Yang＇s inequality, then we will give some conditions on B whi... 详细信息

关键词： entire function deficient value Borel direction order

On the Hyper-Order of Solutions of Some Second-Order Linear Differential Equations

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2002年第1期18卷 79-88页

作者： CHEN Zong Xuan Department of Mathematics. Jiangxi Normal University. Nanchang 330027. P. R. China Department of Mathematics Jiangxi Normal University Nanchang P. R. China

In this paper. we investigate the growth of solutions of the second-order linear homogeneons differential equations with entire coefficients of the same order. and obtain precise estimates of the hyper-order of their ... 详细信息

关键词： Differential equation entire function Hyper-order Zero

TWO entire functionS SHARING FOUR SMALL functionS IN THE SENSE OF _(k))(β,f)=_(k))(β,g)

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2003年第1期23卷 23-32页

作者：姚卫红 Department of Mathematics Shanghai Jiao Tong University Shanghai 200240 China

This paper proves a result that if two entire functions f(z) and g(z) share four small functions aj(z) (j = 1,2,3,4) in the sense of Ek)(aj, f) = Ek)(aj,g), (j = 1,2,3,4) (k ≥ 11), then there exists f(z) = g(z).

关键词： Meromorphic function entire function small function

THE GROWTH ORDER OF SOLUTIONS OF SYSTEMS OF COMPLEX DIFFERENCE EQUATIONS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2013年第3期33卷 814-820页

作者：高凌云 Department of Mathematics Jinan University

Using Nevanlinna theory of the value distribution of meromorphic functions and Wiman-Valiron theory of entire functions, we investigate the problem of growth order of solutions of a type of systems of difference equations, and extend some results of the growth order of solutions of systems of differential equations to systems of difference equations.

关键词： Growth order difference equations entire function