亚纯函数分担多项式的唯一性

研究了亚纯函数分担多项式的唯一性问题,得到了:设f(z)和g(z)为超越亚纯函数,p(z)((≠)0)为一多项式函数,n和m(≥2)为两正整数满足n≥3m+11,如果f n(f m-1)f '-p和g n(gm-1)g '-p CM分担0, 则f≡g或者f≡-g.     

IM分担一个值的亚纯函数的唯一性

运用亚纯函数的值分布理论研究了亚纯函数IM分担一个值的唯一性.获得如下结果：设f与g为非常数的亚纯函数,n≥２３为正整数,若fｎf′与gng′IM分担1,则f=tg,其中ｔ为常数,tn+1=1;或者f(z)=c２e-cz,g(z)=c１ecz,其中c,c１,ｃ２是常数满足（c１ｃ２）n+1c２=-1.     

涉及微分多项式权分担值的亚纯函数的唯一性

采用权分担值的思想讨论了亚纯函数关于微分多项式分担值的唯一性问题.证明了设n,m(≥2)为正整数,且满足m与n 1互素,f,g是两个非常数亚纯函数.若fn(fm-1)f'与gn(gm-1)g'分担(1,k),且满足下列条件之一(1°)k≥2,n＞m 10;(2°)k=1,n＞3/2m 12,就有f≡g.     

分担多项式的亚纯函数(英文)

在本文中,亚纯函数是指在整个复平面上的亚纯函数.本文是利用复分析的值分布理论来研究亚纯函数的唯一性.设f(z)和g(z)是两个亚纯函数,当fn(z)f′(z),gn(z)g′(z)分担1或者z CM时,前人给出了下面的定理:定理A设f(z)和g(z)是两个非常数亚纯函数,n≥11是一个正整数,如果fn(z)f′(z),gn(z)g′(z)分担1CM,则f(z)=c1ecz,g(z)=c2e-cz,这里c1,c2和c是3个常数且满足(c1c2)n+1c2≡-1;或者f(z)≡tan(z)其中t是一个常数满足tn+1=1.定理B设f(z)和g(z)是两个非常数亚纯函数(整函数),n≥11(n≥6)是一个正整数,如果fn(z)f′(z),gn(z)g′(z)分担z CM,则f(z)=c1ecz2,g(z)=c2e-cz2,这里c1,c2和c是3个常数且满足4(c1c2)n+1c2≡-1;或者f(z)≡tan(z)其中t是一个常数满足tn+1=1.在本文中,我们推广了上述定理,证明了下面的结论:设p(z)为n1次多项式,f(z)和g(z)是两个超越亚纯函数,n≥max{11,2n1+2}是一个正整数,如果fn(z)f...     

亚纯函数及其微分多项式IM分担小函数

研究了亚纯函数f及其微分多项式分担小函数的唯一性问题,证明了f和L (f)分担a (z)的2个唯一性定理,改进了已有的一些结论。假设f (z)是非常数的亚纯函数,k为正整数,a (z)(a (z)?0)是亚纯函数。当f-a和L (f)-a分担0 IM,若满足1 0δ(0, f)+8 (k+1)Θ(∞, f) 8k+17,则f≡L (f).     

整函数涉及权分担值的微分多项式唯一性问题

采用权分担值的思想讨论了整函数关于微分多项式分担一个小函数的唯一性问题.主要证明了:设f,g是两个非常数整函数,n,m为正整数.fn(fm-1)f′,gn(gm-1)g′分担(1,2)且n>m 5,则f(z)≡g(z).该结论推广了已有的结果.     

亚纯函数和微分多项式分担一个值的唯一性

主要研究加权分担一个值的亚纯函数和微分多项式的唯一性,证明了:定理1 设f和g是两个非常数超越亚纯函数,n,m,l,k是非负整数,若El(1,fn(z)(f(z)-1)m](k))=El,(1,[gn(z)(g(z)-1)m](k))且下面任一条件成立①l≥2,n>max{m+4k+14,5m+2k};②l=1,n>max{2m+7k+17,5m+2k);③l=0,n>4m+13k+23,则有f≡g或者f和g满足代数式R(f,g)≡0,其中R(w1,w2)=w1n(w1-1)m-w1n(w2-1)m.     

涉及分担值的整函数的微分多项式的唯一性

为获得2个函数之间的关系,运用亚纯函数的值分布理论,研究整函数的唯一性.主要证明了:设f(z)和g(z)是2个超越整函数,k,n为正整数,且满足n≥2k+11,若[fn(f2-1)](k)和[gn(g2-1)](k)以1为IM公共值,则f(z)≡g(z).     

关于全纯函数的正规定则

研究了涉及微分多项式与公共值的全纯函数族的正规性问题,设F为区域D内的全纯函数族,n(≥1)、m(≥1)为2个正整数,b为有限常数.如果对F中的任意2个函数f(z)和g(z)有fn(fm-1)f′与gn(gm-1)g′在D内都以b为公共值,则F在D内正规.     

关于分担值的亚纯函数的正规族(英文)

本文主要研究了关于分担值的亚纯函数的正规性。令F为定义在区域D上的亚纯函数族,k,n(≥k+2)为正整数,a为非零复常数。如果对任一对(f,g)∈F,都有f(fn)(k)与g(gn)(k)IM分担a,且N (r,1/(fn)(k)=S(r,f)),则F在D上正规。此结论改进和加强了已有文献中的结论。     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

正~~