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On meromorphic functions sharing one value

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Journal of Southeast University(English Edition) 2003年第2期19卷 200-204页

作者：仇惠玲江苏教育学院数学系南京师范大学数学系南京210097

The uniqueness of meromorphic functions with one sharing value and an equality on deficiency is studied. We show that if two nonconstant meromorphic functions f(z) and g(z) satisfy δ(0,f)+δ(0,g)+δ(∞,f)+δ(∞,g)=3 ... 详细信息

关键词： meromorphic function sharing value deficiency

value sharing of meromorphic functions and some questions of Dyavanal

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Frontiers of Mathematics in China 2012年第1期7卷 161-176页

作者： Xiaobin ZHANG College of Science Civil Aviation University of ChinaTianjin 300300China

In this paper, we shall study the uniqueness problems on meromorphic functions sharing nonzero finite value or fixed point. We have answered some questions posed by Dyavanal. Our results improve or generalize a few of... 详细信息

关键词： Uniqueness mcromorphic function sharing value fixed point

value-sharing of Meromorphic Functions and Differential Polynomials

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Journal of Mathematical Research and Exposition 2011年第4期31卷 735-741页

作者： Zhen LIU Jun WANG School of Mathematical Sciences Fudan University Shanghai 200433 P. R. China

This paper is devoted to studying the relationship between meromorphic functions f（z） and g（z） when their differential polynomials satisfy sharing condition weaker than sharing one value IM.

关键词： meromorphic function uniqueness sharing value differential polynomial.

Some results on zeros and uniqueness of difference-differential polynomials

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Applied Mathematics(A Journal of Chinese Universities) 2012年第1期27卷 94-104页

作者： LIU Kai LIU Xin-ling CAO Ting-bin Department of Mathematics Nanchang UniversityNanchang 330031China

We consider the zeros distributions of difference-differential polynomials which are the derivatives of difference products of entire functions. We also investigate the uniqueness problems of difference-differential p... 详细信息

关键词： zero sharing value uniqueness difference-differential polynomial.

ON THE DIFFERENCE COUNTERPART OF BRCK'S CONJECTURE

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Acta Mathematica Scientia 2014年第3期34卷 653-659页

作者：陈宗煊 School of Mathematical Sciences South China Normal University

In this article, for a transcendental entire function f（z） of finite order which has a finite Borel exceptional value a, we utilize properties of complex difference equations to prove the difference counterpart of Bruck＇s conjecture, that is, if △f（z） = f（z ＋ η） - f（z） and f（z） share one value a （≠α） CM, where η ∈ C is a constant such that f（z ＋η） ≠ f（z）,then△f（z）-a/f（z）-a=a/a-α.

关键词： Complex difference Borel exceptional value sharing value

Uniqueness of Meromorphic Functions sharing One Set

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Communications in Mathematical Research 2010年第4期26卷 353-360页

作者： QI JIAN-MING YI HONG-XUN School of Mathematics Shandong University Jinan 250100

In this paper,we study uniqueness of meromorphic functions sharing one set,and obtain some results,which improve and extend the original results.

关键词： meromorphic function Nevanlinna theory uniqueness sharing value

Complex and p-Adic Meromorphic Functions f′P′( f ),g′P′(g) sharing a Small Function

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Analysis in Theory and Applications 2014年第1期30卷 51-81页

作者： Alain Escassut Kamal Boussaf Jacqueline Ojeda Laboratoire de Mathematiques UMR 6620 Universit'e Blaise PascalLes C'ezeauxAubiere 63171 France Departamento de Matematica Facultad de Ciencias Fsicasy MatematicasUniversidad de ConcepcionConcepcion Chile

Let K be a complete algebraically closed p-adic field of characteristic zero. We apply results in algebraic geometry and a new Nevanlinna theorem for p-adic meromorphic functions in order to prove results of uniqueness in value sharing prob-lems, both on K and on C. Let P be a polynomial of uniqueness for meromorphic functions in K or C or in an open disk. Let f , g be two transcendental meromorphic functions in the whole field K or in C or meromorphic functions in an open disk of K that are not quotients of bounded analytic functions. We show that if f′P′（ f ） and g′P′（g） share a small function α counting multiplicity, then f=g, provided that the multiplicity order of zeros of P′satisfy certain inequalities. A breakthrough in this pa-per consists of replacing inequalities n≥k＋2 or n≥k＋3 used in previous papers by Hypothesis （G）. In the p-adic context, another consists of giving a lower bound for a sum of q counting functions of zeros with （q-1） times the characteristic function of the considered meromorphic function.

关键词： Meromorphic nevanlinna sharing value unicity distribution of values.

Uniqueness Theorems for Meromorphic Functions

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Chinese Quarterly Journal of Mathematics 2000年第2期15卷 66-69页

作者：阿美如山东大学数学系山东济南250100

In this paper we studies the problem of uniqueness of meromorphic functions. We will prove a result has a relation with the result of ***.

关键词： meromorphic function sharing value uniqueness theorem

On the uniqueness of entire functions

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Journal of Southeast University(English Edition) 2004年第3期20卷 387-394页

作者：张敏珠东南大学数学系

We study the uniqueness of entire functions and prove the following theorem: Let f(z) and g(z) be two nonconstant entire functions; n and k two positive integers with n>2k+4. If the zeros of both f(z) and g(z) are of multiplicity at least n, and f (k)(z) and g (k)(z) share 1 CM, then either f(z)=c 1e cz, g(z)= c 2e -cz, where c 1, c 2 and c are three constants satisfying (-1) kc 1c 2c 2k= 1, or f(z)≡g(z).

关键词： entire function sharing value uniqueness