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value distribution of Differential Polynomials in Meromorphic Functions

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Chinese Quarterly Journal of Mathematics 2006年第2期21卷 297-300页

作者： LIU Xiao-shu Department of Mathematics Shangqiu Teachers＇ College Shangqiu 476000 China

Let f（z） be a meromorphic function and ψ be the differential polynomial of f which satisfies the condition of -↑N（r, f）＋-↑N （r, 1/f） = S（r, f）. We obtain several results about the zero point of the ψ and ... 详细信息

关键词： Meromorphic function differential polynomials value distribution

On value distribution of Δ~nf

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Acta Mathematica Sinica,English Series 2014年第10期30卷 1795-1809页

作者： Shuang Ting LAN Zong Xuan CHEN School of Mathematical Sciences South China Normal University

In this paper, we mainly study zeros and poles of the forward differences △nf（z）, where f（z） is a finite order meromorphic function with two Borel exceptional values.

关键词： Borel exceptional value deficient value value distribution

THE value distribution AND UNIQUENESS OF ONE CERTAIN TYPE OF DIFFERENTIAL-DIFFERENCE POLYNOMIALS

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Acta Mathematica Scientia 2014年第3期34卷 719-728页

作者：张克玉仪洪勋 Department of Mathematics Qilu Normal University Department of Mathematics Shandong University

In this article, we investigate the distribution of the zeros and uniqueness of differential-difference polynomialsG（z）=（f^n（f^m（z）-1）∏j=1^d f（z＋cj）^vj）^（k）-α（z）,H（z）=（f^n（f（z）-1）^m∏j=1^d f（z＋cj）^vj）^（k）-α（z）,where f is transcendental entire function of finite order, cj（j = 1,2,…,d）, n,m,d, and vj（j = 1, 2,… , d） are integers, and obtain some theorems, which extended and improved many previous results.

关键词： Meromorphic uniqueness value distribution differential-difference

THE value distribution OF GAUSS MAPS OF IMMERSED HARMONIC SURFACES WITH RAMIFICATION

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Acta Mathematica Scientia 2022年第1期42卷 172-186页

作者： Zhixue LIU Yezhou LI Xingdi CHEN School of Science Beijing University of Posts and TelecommunicationsBeijing 100876China School of Mathematical Sciences Huaqiao UniversityQuanzhou 362021China

Motivated by the result of Chen-Liu-Ru[1],we investigate the value distribution properties for the generalized Gauss maps of weakly complete harmonic surfaces immersed in R^(n) with ramification,which can be seen as a generalization of the results in the case of the minimal *** addition,we give an estimate of the Gauss curvature for the K-quasiconfomal harmonic surfaces whose generalized Gauss map is ramified over a set of hyperplanes.

关键词： value distribution harmonic surfaces quasiconformal mappings conformal metric,Gauss map

THE value distribution OF RANDOM ANALYTIC DIRICHLET SERIES OF NEUTRAL GROWTH (Ⅱ)

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Acta Mathematica Scientia 2000年第4期20卷 504-510页

作者：丁晓庆 Department of Applied Mathematics The Nothwestern Polytechnical University Xi’an 710072 China

This paper studies the value distribution of random analytic Dirichlet series f(s) = Zn()e-sn, where {Zn} is a sequence of independent random variables, n = 1 with moments zero, such that infE{Zn}/E1/2{Zn2≥ α > 0. Suppose [h*(σ)]2 = n converges for any α > 0, and diverges for = 0. It is shown that if = ρ E (0, ), then with probability one, where β is a constant depending only upon the constant α.

关键词： value distribution exceptional value random Dirichlet series independent random variab

Further Extension on a Theorem of the value distribution of f′f^n

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Chinese Quarterly Journal of Mathematics 2007年第1期22卷 155-158页

作者： DOU Pan-ying WU Ghang-qun Department of Mathematics and Information Engineering Puyang Professional Technical Institute Puyang 457000 China College of Mathematics and Information Science Henan University Kaifeng 475001 China

By using small function method, the following result is obtained. If f（z） is transcendental meromorphic and that ψ（z） is non-zero meromorphic and that T（r,ψ） = S（r, f）, then（n＋1）T（r,f）≤N^-（r,1/f＇f^n... 详细信息

关键词： transcendental meromorphic value distribution small function

value distribution of a random analytic Dirichlet series of order zero

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Progress in Natural Science:Materials International 2000年第4期 34-41页

作者：丁晓庆 China Department of Applied Mathematics The Northwestern Polytechnical University Xi’an 710072

The value distribution of a kind of random analytic Drichlet series with order zero is studied.

关键词： value distribution random Dirichlet series martingale difference sequence.

Cyclic Codes with Four Weights and Sequence Families with Four-valued Correlation Functions

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Chinese Journal of Electronics 2019年第2期28卷 288-293页

作者： FAN Jinmei ZHANG Yanhai SHI Xiubo College of Science Guilin University of Technology Faculty of Mathematics and Statistics Hubei University

The value distribution of an exponential sum based on a class of Niho exponents is *** applications, we also completely determine the weight distribution of a class of four-weight cyclic codes and the correlation dist... 详细信息

关键词： Cyclic codes Exponential sum Sequence family value distribution Weight distribution Correlation distribution

ON value distributionS OF GENERAL DIFFERENTIAL MONOMIALS

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Transactions of Tianjin University 2001年第1期7卷 68-70页

作者：吴天毅李伟程英天津轻工业学院天津300222 菏泽师范专科学校山东菏泽274015

value distributions of the general differential monomials is *** following theorem is obtained:Let f be a transcendental meromorphic function in the plane,F=f n 0 (f (i) ) n i …(f (k) ) n k -c,n i≥1,c≠0 be a constant then (n 0-2)T(r,f)≤(r,1F)+S(r,f) when n 0>2;T(r,f)≤7(i+1)i( i) (r,1f)+(r,1F))+S(r,f) when n 0=1;T(r,f)≤7(N(r,1f)+(r,1F))+S(r,f) when n 0=0.

关键词： meromorphic function differential monomial differential polynomial value distribution