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涉及无零点的亚纯函数的正规定则（英文）

Chinese Quarterly Journal of Mathematics 2019年第3期34卷 221-231页

作者：谢佳邓炳茂 School of Mathematics and Information Science Guangzhou UniversityGuangzhouGuangdong510006P.R.China School of Financial Mathematics and Statistics Guangdong University of FinanceGuangzhouGuangdong510521P.R.China

Let k be a positive integer,let h(z)■0 be a holomorphic functions in a domain D,and let F be a family of zero-free meromorphic functions in D,all of whose poles have order at least ***,for each f∈P(f)(z)-h(z) has at most k+l-1 distinct zeros(ignoring multiplicity) in D,where P(f)(z)=f(k)(z)+a1(z)f((k-1)(z)+…+ak(z)f(z) is a differential polynomial of f and aj(z)(j=1,2,···,k) are holomorphic functions in D,then F is normal in D.

关键词： meromorphic Function Normality Zero-free

Analytical Properties of Solutions and First Integrals of a Class of the Third-Order Autonomous Systems

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重庆理工大学学报（自然科学） 2018年第6期32卷 199-204页

作者： CHEN Yang I.P.Martynov Grodno State University of Yanka Kupala Grodno 230023 Republic of Belarus

The paper is devoted to the analytic theory of differential *** paper shown that how to establish the analytical properties of solutions of an autonomous system of the third order special type(meromorphy of general solutions,instances of availability logarithmic branch points).The method for constructing the first integrals of the systems under consideration is indicated.

关键词： meromorphic function logarithmic branch point first integral

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一类亚纯核奇异积分方程的直接解法(英文)

吉林师范大学学报（自然科学版） 1989年第3期20卷 7-11页

作者：沈永祥王传荣四平师院福州大学

本文讨论了一类在边界上可有一阶奇异性的亚纯核奇异积分方程的直接解法,其方法是把它转化为线性方程组讨论,从而得到可直接求解方程的条件和一般解.

关键词： meromorphic kernel weak singularity direct method of solution.

DRASIN'S PROBLEMS AND MUES' CONJECTURE

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Science China Chemistry 1992年第10期35卷 1180-1190页

作者：杨乐王跃飞 Institute of Mathematics Academia Sinica Beijing 100080 PRC

If f（z） is a transcendental meromorphic function, then we have（i） sum from a∈C to （δ（a,f）） + sum from b∈C to (δ(b,f（k）))≤3 （k = 1,2,...）;（ii） sum from b∈C to ( δ(b,f（k）))≤1, k≥K,where K is a positive number depending only on f（z）. The necessary and sufficient conditionto make the equality of （i） hold has also been obtained.

关键词： meromorphic function deficiency

BLOCH'S PRINCIPLE AND NORMAL CRITERION

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Science China Mathematics 1989年第7期32卷 782-791页

作者：庞学诚 East China Normal University Shanghai

In this paper, Bloch’s principle is discussed and a normal criterion is asserted. If Fis a family of meromorphic functions in domain D, for every function f∈F then F is normal in D.

关键词： meromorphic function Bloch’s principle normal criterion.

Some Uniqueness Results of Q-Shift Difference Polynomials Involving Sharing Functions

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Applied Mathematics 2017年第8期8卷 1117-1127页

作者： Xuexue Qian Yasheng Ye Department of Mathematics College of Sciences University of Shanghai for Science and Technology Shanghai China

In this paper, we mainly study the uniqueness of specific q-shift difference polynomials and of meromorphic functions, which share a common small function and get the corresponding results. In addition, we also invest... 详细信息

关键词： Value Distribution meromorphic Functions Difference Polynomials Uniqueness

Normal Criteria and Shared Values by Differential Polynomials

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Advances in Pure Mathematics 2011年第4期1卷 210-217页

作者： Jihong Wang Qian Lu Qilong Liao 不详

For a family of meromorphic functions on a domain D, it is discussed whether F is normal on D if for every pair functions f(z),g∈F , f'–afnand g'–agn share value d on D when n=2,3, where a, b are two complex numbers, a≠0,∞,b≠∞.Finally, the following result is obtained:Let F be a family of meromorphic functions in D, all of whose poles have multiplicity at least 4 , all of whose zeros have multiplicity at least 2. Suppose that there exist two functions a(z) not idendtically equal to zero, d(z) analytic in D, such that for each pair of functions f and in F , f'–a(z)f2 and g'–a(z)g2 share the function d(z) . If a(z) has only a multiple zeros and f(z)≠∞ whenever a(z)=0 , then F is normal in D.

关键词： Normal Family meromorphic Function Shared Value Differential Polynomial

A CONVERGENCE THEOREM ON THE MULTIVARIATE INTERPOLATING RATIONAL FUNCTIONS

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Journal of Shanghai Jiaotong university(Science) 1999年第2期4卷 59-63页

作者：宋宝瑞

This paper investigated the convergence of the columns (with fixed denominator degrees) of the multivariate rational interpolations to a meromorphic function. A simple convergence criterion and the rate of convergence were given. The criterion is a nature extension of the theorem of Saff for the convergence of columns of univariate rational interpolations.

关键词： rational interpolation convergence multivariate meromorphic functions