共查询到20条相似文献,搜索用时 93 毫秒
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《数学的实践与认识》2019,(22)
提出解析函数的弱从属概念,证明弱从属的一些基本性质,建立弱从属原理,推广经典从属关系基本理论;最后,利用具体例子给出了利用"弱从属"构造和研究广义解析函数类的一种方法,所得结果推广Janowski函数和一致凸函数基本性质,并得到一些有趣的新结果. 相似文献
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本文研究了Carathéodory函数.利用微分从属的方法,得到了单位圆盘内Carathéodory函数的某些充分条件.结果改进了文献[1,2,4,5]的结论. 相似文献
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本文通过对次调函数基本性质的讨论,对从属函数族建立了积分平均原理,然后给出它在星象函数族与凸象函数族中的运用,解决了面积极值问题和长度极值问题.并给出星相与凸象族以及其导数的积分平均原理,然后推扩到由星象或凸象函数所定义的函数族上去,这一方法还可运用许多其它函数族. 相似文献
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讨论了多复变函数中的微分从属的最优控制的问题,取得了一些结果,得到了一些应用.它是单复变函数论中的相应结果[1,2]的推广. 相似文献
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令Hn(p)表示形如f(z)=zp ∑ ∞k=n pakzk,且在单位圆U={z;|z|<1}内解析的函数f(z) 的全体所成的函数类.本文应用微分从属技巧得到了p-叶β级星像函数的一些充分条件,所得结果推广了一些作者的相关结果. 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
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《Journal of the Egyptian Mathematical Society》2014,22(1):36-44
By making use of the principle of subordination between analytic functions and the generalized fractional differintegral operator, we introduce and investigate some new subclasses of p-valently analytic functions in the open unit disk. Such results as inclusion relationships, integral-preserving properties, convolution properties, subordination and superordination properties, and sandwich theorems for these classes are derived. 相似文献
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Some properties of certain multivalent analytic functions involving the Cho–Kwon–Srivastava operator
Zhi-Gang Wang R. Aghalary M. Darus R.W. Ibrahim 《Mathematical and Computer Modelling》2009,49(9-10):1969-1984
By making use of the principle of subordination between analytic functions and the Cho–Kwon–Srivastava operator, we introduce a certain subclass of multivalent analytic functions. Such results as subordination and superordination properties, convolution properties, inclusion relationships, distortion theorems, inequality properties and sufficient conditions for multivalent starlikeness are proved. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained. 相似文献
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By making use of the principle of subordination, we introduce a certain class of multivalent analytic functions. Such results as subordination and superordination properties, distortion theorems and inequality properties are proved. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained. 相似文献
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本文研究了用Salagean算子定义的缺系数单叶调和函数类.利用从属关系和算子理论得到类中函数的系数估计、极值点、偏差定理、卷积性质、凸性组合与凸半径,推广了已有的一些结果. 相似文献
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R. K. Raina P. Sharma J. Sokół 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2018,53(6):355-362
In this paper, we study certain classes of analytic functions which satisfy a subordination condition and are associated with the crescent-shaped regions. We first give certain integral representations for the functions belonging to these classes and also present a relevant example. Making use of some known lemmas, we derive sufficient conditions for the functions to be in these classes. Some results on coefficient estimates are also obtained. 相似文献
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In this paper we determine the radius of convexity of particular functions. The obtained results are used to deduce sharp estimates regarding functions which satisfy a second order differential subordination. A lemma regarding starlikeness that involves the notion of convolution is established, and is used in order to obtain a sharp starlikeness condition. 相似文献
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M. K. Aouf A. Shamandy A. O. Mostafa E. A. Adwan 《Complex Analysis and Operator Theory》2013,7(4):1117-1126
In this paper, we drive several interesting subordination results of analytic functions defined by convolution. 相似文献
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In the present investigation, we obtain some subordination and superordination results involving Hadamard products for certain normalized analytic functions in the open unit disk. Relevant connections of the results, which are presented in this paper, with various other known results are also pointed out. 相似文献
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In this paper we derive several subordination results for a certain class of analytic functions defined by the Salagean operator. 相似文献