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1.
对任一正数λ和τ(τ在λ和ι+1之间),可构造单位圆内一个λ级亚纯函数,具有一个τ级充满圆序列,但没有大于τ级的充满圆序列。  相似文献   

2.
证明了单位圆内允许亚纯函数在单位圆(或某角域)"IM"(或'IM')分担4个公共小函数,且对第5个公共小函数满足一定条件的唯一性定理.  相似文献   

3.
单位圆内下级μ有穷的亚纯函数f(z),若其Nevanlinna特征函数无界及亏量δ(∞,f)>0,则其对数模为正的测度与1-r的比有一个仅与μ及δ(∞,f)有关的正的下界。  相似文献   

4.
证明了单位圆内的有究正级亚纯函数及其导数的Borel半径分布安全一致。  相似文献   

5.
本文证明了,开平面上超越亚纯函数若不具有Ce形式(其中,A、B及C为复数,A≠0_。),则T(r,f)<6N(Y,l/Αf~2f~1十Bf~3-1)+S(r,f)(其中,S(r,f)表示。{T(r,f)}(r→+∞),最多除去(0,o)内一线性测度有穷的集合)。  相似文献   

6.
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   

7.
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   

8.
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   

9.
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   

10.
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   

11.
复平面上两个非常数亚纯函数f(z)和g(z),若满足E(∞,f)=E(∞,g),E(a,f(n))=E(b,g(n)),其中n为正整数,a,b为非零复数.则对其导数等一些计数函数的增长性附上一定条件时,得到了唯一性结果.  相似文献   

12.
设为F区域D内的亚纯函数族,n(≥3)为一正整数,b为非零有穷复数,若对(A)f,g∈(F)在D内fn(f-1)f'与gn(g-1)g'IM分担b,则(F)在D内正规.  相似文献   

13.
The changes in the contents of adenosine 5’-triphosphate (ATP) and its related breakdown compounds were investigated in the adductor muscle, mantle, gill and body trunk of oyster (Crassostrea gigas) during frozen storage at -20℃ and -30℃ and compared with that of the fresh oyster. The investigation was performed using an HPLC system. Different extents of ATP decomposi- tion were found in various tissues frozen at the two temperatures. The K, K’ and A.E.C values were calculated as the chemical fresh- ness indices. Considering the results of sensory evaluation, the A.E.C. value in body trunk at -20℃ and -30℃ could be used as the best freshness index for frozen oyster.  相似文献   

14.
Theoretic and practical significance has been highlighted in the research of the roles and functions of destinations,as destinations are restricted by the spatial structure based on tourist flow network from the perspective of relationship.This article conducted an empirical analysis for Tourism Region of South Anhui(TRSA) and revealed the necessity and feasibility of studying the roles and functions of destinations from tourist flow network’s perspective.The automorphic equivalence analysis and centrality analysis were used to classify 16 destinations in TRSA into six role types:tourist flow distribution center,hub of tourist flows,passageway destination,common touring destination,attached touring destination,and nearly isolated destination.Some suggestions were given on suitable infrastructure construction and destinations service designs according to their functions in network.This destination role positioning was based on tourist flow network structure in integral and macroscopic way.It provided an important reference for the balanced and harmonious development of all the destinations of TRSA.In addition,this article verified the applicability of social network analysis on tourist flow research in local scale,and expanded this method to destination role and function positioning.  相似文献   

15.
如何在阅读教学中培养学生语篇分析能力   总被引:9,自引:0,他引:9  
语篇分析是系统功能语言学有别于其它语言学流派的重要特征,通过探讨语篇分析在英语阅读教学中起到的作用,以求有效地提高学生的阅读理解能力。  相似文献   

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