共查询到19条相似文献,搜索用时 500 毫秒
1.
算子Dα及其刻划的亚纯p叶函数类 总被引:1,自引:0,他引:1
用算子Dα刻划了亚纯星象函数,亚纯凸象函数,亚纯近于凸函数和亚纯拟凸函数的新子类,建立了包含关系,讨论了这些类中函数积分算子的性质. 相似文献
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李建林 《纯粹数学与应用数学》1993,9(2):101-106
设g(ζ)=ζ+sum from n=0 to ∞b_nζ~(-n)为α级亚纯星形函数(0≤α<1,|ζ|>1),函数ψ(z)=z+sum from n=2 to ∞α_nZ~n为单位园内的凸单叶函数。本文得到,若α∈(1/2,1),则g(ζ)※ζ~2ψ(1/ζ)(|ζ|>1)为α级亚纯星形函数,作为这个结果的一个推论,文[4]中的猜测在α∈(1/2,1)内成立。 相似文献
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《数学的实践与认识》2017,(23)
引入了一类关于对称共轭点的有界正实部亚纯p叶星象函数类,并获得了函数类的积分表达式,充分条件,Fekete-Szeg?问题和卷积性质.特别地,得到了亚纯p叶函数类的另一种积分表示方法. 相似文献
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用算子刻划的亚纯单叶函数类 总被引:6,自引:0,他引:6
本文用算子刻划了亚纯星象函数、亚纯凸象函数、亚纯近于凸函数和亚纯拟凸函数的新子类,建立了包含关系,讨论了这些类中函数积分算子的性质。 相似文献
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令∑_p表示形如f(z)=z~(-p)+∑m=1∞(p∈N={1,2,3…})且在去心单位开圆盘D=U\{0}={z∶z∈C且0|z|1}上解析的亚纯多叶函数类.利用一个作用在∑_p上的乘积算子定义了几个新的亚纯函数的子类,并考虑这些函数类在积分算子作用下的性质. 相似文献
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利用Nevanlinna理论与多项式加权和的概念研究了一类亚纯函数多项式与其导函数分担小函数的唯一性.在分担小函数的条件下,得到了亚纯函数的特征函数与计数函数之间的一个不等式,并研究了亚纯函数多项式与其k阶导数分担小函数的唯一性问题,所得到的定理补充,改进与推广了一些已有的结果. 相似文献
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进一步讨论亚纯函数的k阶导数具有公共小函数的唯一性问题,得到两个亚纯函数唯一性问题的结果,改进了李平的有关结果. 相似文献
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In this note we discuss a few properties of transnormal Finsler functions, i.e., the natural generalization of distance functions and isoparametric Finsler functions. In particular, we prove that critical level sets of an analytic transnormal function are submanifolds, and the partition of M into level sets is a Finsler partition, when the function is defined on a compact analytic manifold M. 相似文献
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Making use of the familiar convolution structure of analytic functions, in this paper we introduce and investigate two new subclasses of multivalently analytic functions of complex order. Among the various results obtained here for each of these function classes, we derive the coefficient inequalities and other interesting properties and characteristics for functions belonging to the class introduced here. 相似文献
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The purpose of the present paper is to introduce several new classes of meromorphic functions defined by using a meromorphic analogue of the Choi–Saigo–Srivastava operator for analytic functions and investigate various inclusion properties of these classes. Some interesting applications involving these and other classes of integral operators are also considered. 相似文献
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The main objective of this paper is to derive the upper bounds for the coefficients of functions in a subclass of analytic and bi-univalent functions associated with Faber polynomials.The consequences presented here point out and correct the errors of some earlier results. 相似文献
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In the present paper, we introduce and investigate classes of analytic functions involving the Srivastava-Attiya operator. Basic properties for β-uniformly starlike functions of order γ are studied, such as inclusion relations, sufficient conditions, coefficient inequalities and distortion inequalities. The results are also extended to β-uniformly convex, close-to-convex, and quasi-convex functions. Relevant connections of the results presented here with those obtained in earlier works are also pointed out. 相似文献
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The concept of analyticity for complex functions on time scale complex plane was introduced by Bohner and Guseinov in 2005. They developed completely delta differentiability, delta analytic functions on products of two time scales, and Cauchy-Riemann equations for delta case.In this research paper we study on continuous, discrete and semi-discrete analytic functions and developed completely nabla differentiability, nabla analytic functions on products of two time scales, and Cauchy-Riemann equations for nabla case. 相似文献
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Some novel applications of certain higher order ordinary complex differential equations to normalized analytic functions 下载免费PDF全文
The aim of this work is first to reveal some nonlinear connections between normalized analytic functions and certain higher order ordinary(complex) differential equations and then to point some of their geometric implications appertaining to normalized analytic functions out. 相似文献
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By making use of the principle of subordination between analytic functions and a family of multiplier transforms, we introduce and investigate some new subclasses of multivalent analytic functions. Such results as inclusion relationships, subordination and superordination properties, integral-preserving properties, argument estimates and convolution properties are proved. 相似文献