关于α阶星像函数类的一个子类

设f(z)=z+…在单位圆|z|<1内解析.给定λ(0≤λ<1),我们定义线性算子Ω^λ Ω^λf=Γ(2-λ)z^λD_z^λf(z);和Ω^n+λf=Ωⁿ(Ω^λf),n∈N∪{0}.其中D_z^λf(z)表示f(z)的分数阶导数且Ω¹ f(z)=zf′(z).用A_{n相似文献}   

APPLICATION OF TWO OPERATORS TRANSFORM FROM CLASS A OPERATOR TO THE CLASS OF HYPONORMAL OPERATOR

In this article, we give an operator transform T (*) from class A operator to the class of hyponormal operators. It is different from the operator transform T defined by M. Ch and T. Yamazaki. Then, we show that σ(T ) = σ( T (*)) and σa(T )\{0} = σa( T (*))\{0}, in case T belongs to class A. Next, we obtain some relations between T and T (9).     

BABAR measurement of baryon time-like form factors via initial state radiation

BABAR has measured with unprecedented accuracy the e^＋e^- → pp and e^＋e^- →∧∧ cross sections by means of the initial state radiation technique, which has the advantages of good efficiency, good energy resolution and full angular acceptance, even exactly at threshold. A peculiar feature of these cross sections is their non-vanishing values at threshold. In the case of charged baryons, this phenomenon is expected according to the Coulomb interaction between the outgoing baryon and antibaryon. Once this Coulomb enhancement factor is taken into account, the striking result is achieved that the proton form factor at threshold is ｜GP（4Mp^2）｜ = 1, that is what is expected for pointlike fermion pairs, in spite of the proton structure. However a Coulomb enhancement factor is not expected for neutral fermions, likely in contradiction with the BABAR data. Qualitatively this behaviour is consistent with Coulomb interactions at the valence quark level.     

和一类积分算子相关的单叶函数的子类

在Ruscheweyh定义了解析函数的Ruscheweyh导数[1]之后,许多学者相继研究了与Ruscheweyh导数有关的单叶或者多叶解析函数类.近来,Jung,Ki m和Srivastava[5]引入了下面的单参数积分算子类:Iσf(z)=zΓ2(σσ)∫0zlogtzσ-1f(t)dt,σ0,f∈Α.算子Iσ和Flett[6]研究的乘数变换密切相关.本文利用算子Iσ定义了两个函数类.首先研究在单位圆内解析的单叶函数类Rσ(A,B),给出函数类的包含关系Rσ(A,B)Rσ+1(A,B),同时也考虑了在积分算子Fλ的作用下的函数类的包含关系以及当λ取特殊值1时的特殊情况.其次研究了函数类Rσ(A,B)中系数为正实数的函数类Sσ(A,B),给出函数f(z)属于类Sσ(A,B)的充分必要条件.     

亚纯多叶函数的子类

本文引进研究一类新的亚纯多叶函数，建立了包含关系，讨论了类中函数的积分表达式，并得到了类中函数准确的系数估计。     

SOME CONVOLUTION AND INCLUSION PROPERTIES FOR SUBCLASSES OF MEROMORPHIC p-VALENT FUNCTIONS INVOLVING INTEGRAL OPERATOR

Making use of the linear operator Lp^m（λ,e）f（z）=1/z^p＋∞∑k=1[e/e＋λk]^m akz^k-p,where e〉0,λ〉0,p∈N,m∈N0=NU{0},z∈U^＊ and f（z）∈∑p,we introduce two subclasses of meromorphic p-valent analytic functions and investigate convolution and inclusion properties for these classes.     

Some remarks on projective generators and injective cogenerators

In this paper,we give a relationship between projective generators(resp.,injective cogenerators) in the category of R-modules and the counterparts in the category of complexes of R-modules.As a consequence,we get that complexes of W-Gorenstein modules are actually W-Gorenstein complexes whenever W is a subcategory of R-modules satisfying W⊥W,where W is the subcategory of exact complexes with all cycles in W.We also study when all cycles of a W-Gorenstein complexes are W-Gorenstein modules.     

ON A SUBCLASS OF CLOSE TO CONVEX FUNCTIONS

Let C ′(α,β) be the class of functions f(z)=(a~nz~n)from n=2 to ∞ analytic in D ={z:|z|1},satisfying for some convex function g(z) with g(0) = g ′(0) ? 1 = 0 and for all z in D the condition ((zf′(z))/(g(z))-1)/(((zf′(z))/(g(z))+(1-2a))β for some α,β(0≤α1,0β≤1).A sharp coefficient estimate,distortion theorems and radius of convexity are determined for the class C ′(α,β).The results extend the work of C.Selvaraj.     

电子类实验仪器维修的几种简单方法

介绍几种在实验教学中仪器发生故障时,进行快速维修的简单方法。     

MODIFIED ROPER-SUFFRIDGE OPERATOR FOR SOME SUBCLASSES OF STARLIKE MAPPINGS ON REINHARDT DOMAINS

In this note, the author introduces some new subcIasses of starlike mappings S^＊Ωn1p2,…,pn（β,A,B）={f∈H（Ω）：｜itanβ＋（1-itanβ）2/p（z）аp/аz（z）Jf^-1（z）f（z）-1-AB/1-B^2｜〈B-A/1-B^2},on Reinhardt domains Ωn1p2,…,pn=z∈C^n：｜z1｜^2＋n∑j=2｜zj｜^pj〈1}where - 1≤A〈B〈1,q=min{p2,…,pn}≥1,l=max{p2,…,pn}≥2 and β ∈（-π/2,π/2）.Some different conditions for P are established such that these classes are preserved under the following modified Roper-Suffridge operator F（z）=（f（z1）＋f＇（z1）Pm（z0）,（f＇（z1））^1/mz0）＇where f is a normalized biholomorphic function on the unit disc D, z = （z1,z0） ∈Ωn1p2,…,pn,z0=（z2,…,zn）∈ C^n-1.Another condition for P is also obtained such that the above generalized Roper-Suffridge operator preserves an almost spirallike function of type/3 and order β These results generalize the modified Roper-Suffridge extension oper-ator from the unit ball to Reinhardt domains. Notice that when p2 = p3 …=pn = 2,our results reduce to the recent results of Feng and Yu.