PROPERTIES OF THE CONVOLUTION WITH PRESTARLIKE FUNCTIONS

In the paper we investigate convolution properties related to the prestarlike functions and various inclusion relationships between defined classes of functions. Interest-ing applications involving the well-known classes of functions defined by linear operators are also considered.     

具有正算子系数的亚纯p-叶算子值函数的性质

通过对α阶β型亚纯星形算子值函数类∑p(α，β）的若干性质的讨论，得到了关于∑p(α，β）的一个充分必要条件的f(z)的算子系数的一个估计，同时，也证明了∑p(α，β）在算子平均和凸线性组合下是闭的。     

SUFFICIENT CONDITION FOR FUNCTIONS TO BE IN A CLASS OF MEROMORPHIC MULTIVALENT SAKAGUCHI TYPE SPIRAL-LIKE FUNCTIONS

In this article, we define a subclass of meromorphic multivalent Sakaguchi type functions and obtain certain sufficient conditions for functions to be in this class. The main result presented here includes a number of consequences as its special cases.     

SUBORDINATION PROPERTIES OF MULTIVALENT FUNCTIONS INVOLVING AN EXTENDED FRACTIONAL DIFFERINTEGRAL OPERATOR

The object of this article is to investigate inclusion, radius, and other various properties of subclasses of multivalent analytic functions, which are defined by using an extended version of the Owa-Srivastava fractional differintegral operator Ω(λ,p).     

Cn中多圆柱体的Riemann-Hilbert边值问题

本文研究了利用Poission核求解C^N（1≤n≤2）中单位多圆柱体上Riemann-Hilbert边值问题．同时，给出了其解的表达式和可解条件，并将原来求解空间从解析函数空间推广到亚纯函数空间．     

广义的张量积Poisson函数的升阶问题

1 引言 文[2]讨论了Poisson函数的若干性质,及以Poisson函数表示的曲线的一种细分格式。而文[1]则对Poisson函数,Bézier函数作了一般的推广,引进了广义的Poisson函数。受文[1],[2]的启发,本文将讨论张量积形式下的相关结论。我们将会看到广义的张量积Poisson函数将不再局限于张量积形式。     

Bazilevič函数的对数系数

本文研究了Bazilevič函数类B_α（C,D）的对数系数.利用构造一个非负函数和对复变函数模的积分进行估计的方法,获得了B_α（C,D）的对数系数,推广了一些已有的相关结果.     

关于连续函数与可微函数的共凸逼近

关于凸逼近,共凸逼近的各种逼近阶的估计在近十多年来已引起了相当的重视和较多的研究,因为保形渐近的思想在实际问题中有着十分重要的意义。相比较而言,共凸逼近的的研究比凸逼近的情况要复杂,因此,不少关于凸逼近已得到解决的问题对于共凸逼近仍没有结果,关于共凸逼近,1984,Atacir,Sermin证明了。     

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.     

STARLIKENESS AND SUBORDINATION PROPERTIES OF A LINEAR OPERATOR

In this paper, we introduce a new class of p-valent analytic functions defined by using a linear operator Lαk. For functions in this class Hαk(p, λ; h) we estimate the coefficients.Furthermore, some subordination properties related to the operator Lαkare also derived.     

ON BOUNDEDNESS OF SOLUTIONS OFIMPULSIVE INTEGRO-DIFFERENTIAL SYSTEMSWITH FIXED MOMENTS OF IMPULSE EFFECTS

1Introduction.ImpulsivesystemshaveagreatdealOfapplicationsinphysics,biology,medecineandotherssciences.Thetheoryforimpulsivedmerentialsystemshasbeendevelopedstronglytforinstancesee[1-3].Butthetheoryoftheimpulsiveintegrthdifferentialsystemsisasyetnotwell-developed.WeonlyisknownthatthecomparisonresultsforstabilityOfthesolutionsofimpulsiveintegro-dmerentialsystemshavebeenobtainedin[4].ConcerningtheboundednessOfimpulsiveintegro-dmerentialsystems,therehasnotappearedtobeanyresultssofar.Theobjective…     

二阶代数微分方程亚纯解的增长性估计

本文研究了代数微分方程亚纯解的增长级.运用正规族理论,给出了某类二阶代数微分方程亚纯解的增长级的一个估计,该估计依赖于方程的有理函数系数.推广了2001年廖良文与杨重骏的一个结果.     

由Dziok-Srivastava算子定义的多叶解析函数类的性质

本文研究了由Dziok-Srivastava算子H(a₁,…,a_q;b₁,…,b_s)定义的关于参数b_j ∈ C\Z₀^-(Z₀^-=0,-1,-2,…;j=1,2,…,s)的多叶解析函数类W_p(H(b_j+1);A,B).利用微分从属的方法和卷积的性质,获得了该类函数的特征性质和包含结果,推广了一些已知结果.     

MULTIPLICATION OF WEAK FUNCTIONS

This paper is a contionuation of [1] and is concerned with multiplication of weak functions. Here the weak functions are treated as generalized expansions in Hermite functions in [2].     

RELAXATION OF FUNCTIONALS INVOLVING HOMOGENEOUS FUNCTIONS AND INVARIANCE OF ENVELOPES

51. IntroductionWe denote by Mm. the space of real m x n matrices. Let U' bc a function defined onM.., with values in R and n be a bounded domain in Wt. The basic problenl of the Calculusof Variations consists in minirnizing such energy functionals asI(u) = f I+'(vu(x))dx, (1.l)jt, I+'(vu(x))ax, (1.l)where u is a mapping from t1 into R"' belonging to some subset of a Sobolcv space. Inthis context, 7u designates the gradicnt of u, i.e., the m x 1l matrix witll components(7u)ij = % l where …     

CONVERGENCE OF SOLUTIONS OF CERTAIN SYSTEM OF THIRD ORDER NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS

The object of this paper is to give an n-dimensional analogue of a convergence result of Tejumola [8] for some third-order differential equations. The result extends earlier results of Afuwape [1] and Ezeilo [4] to some system of third-order differential equations.     

UNIQUENESS OF DIFFERENCE POLYNOMIALS OF MEROMORPHIC FUNCTIONS

In this article, we investigate the uniqueness problems of difference polynomials of meromorphic functions and obtain some results which can be viewed as discrete analogues of the results given by Shibazaki. Some examples are given to show the results in this article are best possible.     

高阶加权微分算子谱的离散性

本文研究了加权的高阶微分算子的谱. 利用分解的方法和不等式的估计, 得到了一些高阶对称微分算子的任何自共轭扩张的谱离散的充分条件, 推广了 Pfeiffer , Sun, Glazman 等人的结果,利用这些结果可以判别某些微分算子谱的离散性.     

关于代数体函数微分多项式的某些结果

本文应用代数体函数及其微分多项式的有关理论,将仪洪勋关于亚纯函数微分多项式的几个结果推广到代数体函数物微分多项式。     

随机迭代系统的有界Fatou分支的存在性

本文研究了由m个超越整函数函数f1,f2,···,fm生成的随机迭代系统的Fatou分支的有界性问题.利用复动力系统理论的方法,得到一个Fatou连通分支U分别作为游荡域和非游荡域有界的条件,推广了Zheng的结果,同时也是对Baker的问题在随机迭代系统情形的一个回答.