首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到20条相似文献,搜索用时 691 毫秒
1.
设F是区域D内的一亚纯函数族,k是任一正整数,M为一正数,对于F中的每个函数f,只有至少t级零点,当1≤k≤4时,t=k 1,当k≥5时,t=k.置L(f)(z)=f(k)(z) ak-1(z)f(k-1)(z) … a1(z)f'(z) a0(z)f(z) b(z),a(z)≠0,a0(z),a1(z),…,ak-1(z),b(z)为D内的全纯函数,则有(i)若f(z)L(f)(z)=a(z)(=)|L(f)(z)|<M,z∈D,则F在D内正规.(ii)若f(z)L(f)(z)=n(z)(=)|f(z)|>M,z∈D,则F在D内正规.  相似文献   

2.
复平面上两个亚纯函数f(z)与g(z),若IM分担{∞},它们的一个导数IM分担1,则或者f(z)≡g(z),或者满足代数方程R(f,g)≡0,其中R(ω1,ω2)=ω1n(ω-1)m-ω1n(ω2-1)m.  相似文献   

3.
设φ(z)≠0为区域D(c)C上的亚纯函数,a0(z),a1(z),…ak-1(z)为区域D上的全纯函数,k∈N.F为区域D上一族亚纯函数.对于任意的f(z)∈F,所有零点之级≥k 1,极点之级≥2.并且L(f)(z)=,k((z) ak-1(z)f(k-1)(z) …a1(z)f'(z) a0(z)f(z)≠φ(z),z∈D则F在D上正规.  相似文献   

4.
设k∈N,f(z)为复平面上的超越亚纯函数,φ(z)、ak-1(z),…,a0(z)为f(z)的小函数,且φ(z)≠0.置P(f)(z)=f(k)(z) ak-1(z),k-1((z) … a1(z)f'(z) a0f(z),且P(f)(z)不恒为常数.当k≤4时,满足Nk)(r,1/f)=S(r,f);k≥5时,满足N4)(r,1/f)=S(r,f),则T(r,f)<20-N(r,1/φfP-1) S(r,f).  相似文献   

5.
设F为区域D内的亚纯函数族n(≥3),m(≥1)为两正整数,6为非零有穷复数,若对 f,g∈F,在D内f"(f"-1)f'与g"(g"'-1)g'IM分担b.则F在D内正规.  相似文献   

6.
证明了下面两个定理:(1)设n,k≥2为正整数,a为有穷非零复数,F为区域D上的亚纯函数族,F中任一函数的零点重级至少为k.vf,g∈F,fLn(f)与gLn(g)IM分担a.则F在D上正规,其中L(f)为f(k)+a1f^(k-1)+…+akf,这里a1,…,ak为常数.(2)设n,k为正整数,且n≥2,a为有穷非零复数,F为区域D上的亚纯函数族,F中任一函数的零点重级至少为k,且fLn(f(z))=a能够推出|f^(k)(z)|≤A,其中A为正数,则F在区域D上正规.  相似文献   

7.
本文证明,其中,f(z)为超越亚纯函数,ψ(z)为非零亚纯函数,使得T(r,ψ)=S(r,f),其中,S(r,f)表示O{T(r,f)}(r→+∞),至多除去一个线性测度有限的r集。  相似文献   

8.
设k∈N,f(z)为复平面上的超越亚纯函数,φ(z)、ak-1(z),…,a0(z)为f(z)的小函数,且φ(z)≠0.置P(f)(z)=f^(k)(z)+ak-1(z),f^(k-1)(z)+…+a1(z)f(z)+a0,(z),且P(f)(z)不恒为常数.当k≤4时,满足Nr)(r,1/f)=S(r,f);k≥5,满足N4)(r,1/f)=S(r,f),则T(r,f)〈20N^-(r,1/φfP-1)+s(r,f).  相似文献   

9.
复平面上两个亚纯函数f(z)与g(z),若IM分担{∞},它们的一个导数IM分担1,则或者f(z)≡g(z),或者满足代数方程R(f,g)≡0,其中R(ω1,ω2)=ω^n(ω-1)^m-ω2^n(ω2-1)^m.  相似文献   

10.
讨论了亚纯函数具有3个IM公共值集的唯一性问题,证明了存在一个具有10个元素的集合S,使得对任意2个非常数亚纯函数f,g只要满足E(S,f)=E(S,g),E({∞},f)=E({∞),g)及E({0},f)=E({0},g),则有f≡g。  相似文献   

11.
12.
Based on the hydrographic data in austral summer during the 22nd Antarctic Expedition of China(2005/2006),some features can be found about the northern margin of Emery ice shelf as follows.The heat content in the surface layer(0-50 m) at the eastern end and the western end of the ice-shelf margin is much higher than that at the middle.The upper mixing-layer depth and the seasonal thermocline depth at the middle of the ice-shelf northern margin are much shallower than those at the both ends.However there is much less difference between the middle and the ends in the bottom layer.The remote sensing photos show that the inhomogeneity in the surface-layer water is closely related to the spatial distribution of the floes and polynia in the area.  相似文献   

13.
Phylogenetic analysis based on 16S rDNA of 8 strains of cultivable bacteria isolated from Arctic sea-ice was studied.The results showed that strain BJ1 belonged to genus Planococcus,which was a genus of low mole percent G C gram-positive bacteria;strain BJ6 belonged to genus Burkholderia of β-proteobacteria and the rest 6 strain all belonged to γ-proteobacteria,of which strain BJ8 was a species of Pseudoalteromonas,strain BJ2-BJ5 and BJ7 were members of genus Psychrobacter.Phylogenetic analysis also indicated that bacteria of genus Psychrobacter of the isolates formed a relatively independent phylogenetic cluster in comparison with other bacteria belonged to genus Psychrobacter.  相似文献   

14.
Foreword     
正Rapid changes of Arctic sea ice cover have been in the focus of the international climate research community in recent years.Quite a few of nations have completed a large number of related surveys and research projects in the Arctic Ocean.Up to now,China has performed six research cruises to the Arctic Ocean resulting in a significant volume of research output.Improved knowledge on the atmospheree-sea ice-ocean interactions in the Arctic is a  相似文献   

15.
16.
The GRV 024516 and GRV 024517 meteorite samples collected from Grove Montains,Antactica are ureilite and H5 ordinary chondrite,respectively.Based on the study of mineralogy-petrology,the cosmic-ray exposure ages and gas retention ages of these two meteorites were determinated and calculated.Their cosmic-ray exposure ages are 33.3 Ma,51.7 Ma,and gas retention ages are 1936.8 Ma and 3720 Ma,respectively.The ureilite contains diamond,graphite and amorphous C,which are mainly carrier of noble gases indicating obviously shock metamorphism effects,which induced 40Ar partial loss.The H5 chondrite indicates thermal metamorphism of parent body,its gas retention age fall the range between 3220 Ma and 4510 Ma of the least shocked H5 chondrites  相似文献   

17.
正1 Aims and Scope Advances in Polar Science(APS)is an international,peer-reviewed journal jointly sponsored by the Polar Research Institute of China and the Chinese Arctic and Antarctic Administration.APS is a comprchensive academic journal dedicated to presentation of multi-disciplinary achievements in Arctic and Antarctic expeditions and research.Its primary purpose is to publish achievements in fundamental research,applied  相似文献   

18.
19.
《山地科学学报》2014,(4):I0004-I0009
<正>AIMS AND SCOPE(Editorial Policy)The Journal of Mountain Science(JMS)is devoted to mountains and their surrounding lowlands-ecoregions of particular global importance,with a particular emphasis on the important highlands/mountains in the world,such as the Tibetan Plateau,the Himalayas,the Alps,the Andes,the Rockies and many other mountain ranges of our planet.  相似文献   

20.
<正>The Journal of Mountain Science(JMS),founded in2004,is an international English-language journal on mountain sciences.JMS is supervised by the Chinese Academy of Sciences(CAS),sponsored by the Chengdu Institute of Mountain Hazards and Environment,CAS,published by Science Press China,and distributed by Springer exclusively throughout the world(excluding Mainland China).The JMS is published bimonthly,fulltexted in SpringerLink and CNKI,indexed/abstracted by  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号