共查询到20条相似文献,搜索用时 93 毫秒
1.
吴春 《重庆师范学院学报》2014,(5):76-80
主要研究了亚纯函数分担全纯函数的正规族问题,证明了:如果扩是区域D上的亚纯函数族,且满足L[f]=a0f'+a1f(a0≠O),a,b,c,d为D上的4个全纯函数。如果对任意的f∈£只满足a(z)≠d(z),b(z)+a1(z)a(z)+a0(z)a’(z)≠2c(z),c(z)-a0(z)a’(z)一a1(z)a(z)≠0,f(z)=a(z)→L[f](z)一b(z)且L[f](z)=c(z)→f(z)=d(z),则£在D正规。 相似文献
2.
本文研究正规族与分担值之间的关系,得到如下结果:设F是区域D内的亚纯函数族,a,b∈C,a,b≠1,若Af∈F,f和f′在D内分担1,f=a→ f′=b,则F在D内正规;设F是区域D内的全纯函数族,k∈N^+,b∈R^+,b∈R^+,若Af∈F,f-1的零点重级均≥k,f=1→ f^(k)=1→f^(k+1)=1≤f^(k+1)≤b,则F在D内正规. 相似文献
3.
王晓晶 《西南师范大学学报(自然科学版)》2005,30(5):805-808
给出了一个一般性的正规定则,设F为区域D上的一个亚纯函数族,H(不衡等于)0,a0+a1,…am-1为区域D上的全纯函数,如果对于任意的f∈F,f的极点重数≥2,f的零点重数≥m+2,且L(f)(z)=f^(m)(z)+am-1(z)f(m-1)(z)+…+a1(z)f′(z)+a0(z)f(z)≠h(z) z∈D 则F在区域D上正规。 相似文献
4.
刘礼培 《江西师范大学学报(自然科学版)》2007,31(3):236-238
设F为区域D上的亚纯函数族,a,b,c,d为复常数且b≠0,c≠a和d≠b,k为任意正整数.若对任意的f∈F,有f-c的零点重级至少是k,且f(z)=af(k)(z)=b和f(z)=c■f(k)(z)=d,则F在区域D上正规,推广了常建明等的结果. 相似文献
5.
通过研究正规族与分担值之间的关系,得到如下两个结果:设F是区域D内的亚纯函数族,a1,a2,a3,a4∈C,a1≠a3,a2≠a4,a2≠0,若(A)f∈F,f(z)=a1(→)f'(z)=a2,f(z)=a3(→)f'(z)=a4,则F在D内正规;设F是区域D内的全纯函数族,k∈Z ,a,b∈C,a≠0,b>0,若(A)f∈F,f-a的零点重级均≥k,f=a(→)f(k)=a,f(k)=a(→)0<|f(k 1)|≤b,则F在D内正规. 相似文献
6.
设F为单位圆⊙内的全纯函数族,a,b,c为三个有穷复数且b≠0,C≠0,a≠b,若对任一个f∈F,f的零点的重级≥k+1,E(0,f)=E(a,f^(k)),E^-(b,f^(k)lohtain in E^-(c,f),则F在⊙内正规. 相似文献
7.
设F为区域D内的一个全纯函数族,k(≥2)是一正整数,λ和μ是两个非零的常数.若对于任意的f∈F,当f(z)-λz+μ,z∈D时,有f^(k)(z)=λz+μ,且f与f'CM:λz+μ,则F在D上是正规的. 相似文献
8.
刘树宽 《山东大学学报(自然科学版)》2011,(1):79-80,118
设F是区域D上的亚纯函数族,a(z),b(z)为区域D上的两解析函数,n为正整数。推广了方明亮的一个结果,证明了:对f∈F,当f+a(z)(‘f’)^n≠b(z)时,并且,的零点重级至少为2,则F在D上正规。 相似文献
9.
一个涉及极点重数的亚纯函数正规定则 总被引:1,自引:1,他引:0
叶亚盛 《上海理工大学学报》2007,29(3):265-267,274
设F是平面区域D上的亚纯函数族,且族中每个函数的极点至少为k 1级.如果对所有f∈F,z∈D,有f(k) af3≠b,这里a≠0,b为两个有穷复数,则F为D上的正规族. 相似文献
10.
本文讨论只有重级零点的情况下正规定则的问题.对有关结果作了推广和改进,得到了①f(z)为只有重级零点的整函数,若fk—af2≠0(a≠0)为有穷复数,k为正整数,则f(z)为常数.②设F(z)为区域D内一个全纯函数,K为正整数,ai(z)(i=0,1,…,K—1),b(z),a(z)均在D内全纯,a(z)≠0.若对任意f∈F只有重级零点,fk(z)+sum from i=1 to (k-1)(ai(z)+b(z)f(z)-a(z)f2(z)≠a0(z)则F在D内全纯. 相似文献
11.
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. 相似文献
12.
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. 相似文献
13.
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。 相似文献
14.
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. 相似文献
15.
Miao Maosheng 《华南师范大学学报(自然科学版)》2014,(6)
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- 相似文献
16.
Yang Weitao 《华南师范大学学报(自然科学版)》2014,46(6):137-138
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- 相似文献
17.
Bernard Kirtman 《华南师范大学学报(自然科学版)》2014,(6)
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 相似文献
18.
《上海师范大学学报(自然科学版)》2014,(5):550
<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 相似文献
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《吉林大学学报(理学版)》2014,(5):1105
<正>"Journal of Jilin University(Science Edition)"is a comprehensive academic journal in the fields of science sponsored by Jilin University and administrated by the Ministry of Education of the Peoples Republic of China.The journal started publication in 1955.The original name at starting publication was"Journal of Natural Science of Northeast People University",which was changed into"Acta Scientiarum Naturalium Universitatis Jilinensis"in 1958 owing to the name change of the university.The present journal name has 相似文献