解析函数某子类的汉克尔行列式

INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (ICMSA-2019) Pub Date : 2020-07-28 DOI:10.1063/5.0014552

B. Venkateswarlu, P. Reddy, N. Rani

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引用次数: 0

摘要

本文利用Toeplitz行列式，得到复平面上开单位圆盘上解析函数的某一般子类的函数的第二和第三汉克尔行列式的最佳可能上界。文中还指出了本文所提出的结果与前人所给出的结果之间的相关联系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Third Hankel determinants for a certain subclass of analytic functions

In this paper, we obtain the best possible upper bound to the second and third Hankel determinants for the functions belonging to a certain general subclass of analytic functions defined on the open unit disc in the complex plane using Toeplitz determinants. Relevant connections of the results presented here with those given in earlier works are also indicated.

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INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (ICMSA-2019)

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