首页> 外文期刊>Journal of Mathematics and Statistics >On New Bijective Convolution Operator Act for Analytic Functions | Science Publications
【24h】

On New Bijective Convolution Operator Act for Analytic Functions | Science Publications

机译:解析函数的新双射卷积算子法科学出版物

获取原文
           

摘要

> Problem statement: We introduced a new bijective convolution linear operator defined on the class of normalized analytic functions. This operator was motivated by many researchers namely Srivastava, Owa, Ruscheweyh and many others. The operator was essential to obtain new classes of analytic functions. Approach: Simple technique of Ruscheweyh was used in our preliminary approach to create new bijective convolution linear operator. The preliminary concept of Hadamard products was mentioned and the concept of subordination was given to give sharp proofs for certain sufficient conditions of the linear operator aforementioned. In fact, the subordinating factor sequence was used to derive different types of subordination results. Results: Having the linear operator, subordination theorems were established by using standard concept of subordination. The results reduced to well-known results studied by various researchers. Coefficient bounds and inclusion properties, growth and closure theorems for some subclasses were also obtained. Conclusion: Therefore, many interesting results could be obtained and some applications could be gathered.
机译: > 问题陈述:我们引入了在归一化解析函数的类上定义的新的双射卷积线性算子。该操作员受Srivastava,Owa,Ruscheweyh等许多研究人员的激励。操作员对于获得新类别的分析功能至关重要。 方法:在我们的初步方法中,使用了Ruscheweyh的简单技术来创建新的双射卷积线性算子。提到了Hadamard产品的初步概念,并给出了从属概念,以便为上述线性算子的某些充分条件提供清晰的证明。实际上,从属因素序列用于导出不同类型的从属结果。 结果:具有线性算子,通过使用从属的标准概念建立了从属定理。结果被各种研究人员研究为众所周知的结果。还获得了某些子类的系数边界和包含特性,增长和封闭定理。 结论:因此,可以获得许多有趣的结果,并且可以收集一些应用程序。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号