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arXiv 1607.08285math.CV
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与Hohlov算子相关的复阶双单叶函数的某些子类的初始MacLaurin系数的估计

Estimate for Initial MacLaurin Coefficients of Certain Subclasses of Bi-univalent Functions of Complex Order Associated with the Hohlov Operator

T. Bulboacă, G. Murugusundaramoorthy

摘要:

本文引入并研究了定义在开单位圆盘上的复阶双单叶函数的函数类$Σ$的两个新子类,它们与Hohlov算子相联系,并满足从属条件.此外,我们发现估计泰勒-麦克劳林系数$|a_2|$和$|a_3|$的功能,在这些新的子类。这些结果的几个已知的或新的后果也指出。

英文摘要:

In this paper we introduce and investigate two new subclasses of the function class $Σ$ of bi-univalent functions of complex order defined in the open unit disk, which are associated with the Hohlov operator, and satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-MacLaurin coefficients $|a_2|$ and $|a_3|$ for functions in these new subclasses. Several known or new consequences of these results are also pointed out.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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