全纯函数某些子类的若干阶HANKEL行列式

Q3 Mathematics

Ural Mathematical Journal Pub Date : 2022-07-29 DOI:10.15826/umj.2022.1.011

D. Vamshee Krishna, D. Shalini

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引用次数: 0

摘要

在本文中，我们引入了全纯函数的某些亚族，并试图通过应用某些引理Toeplitz行列式来获得二阶和三阶Hankel行列式的上界（UB），因为归一化分析函数属于这些类，定义在复平面的开单位圆盘上。对于其中一个不等式，我们得到了锐界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

HANKEL DETERMINANT OF CERTAIN ORDERS FOR SOME SUBCLASSES OF HOLOMORPHIC FUNCTIONS

In this paper, we are introducing certain subfamilies of holomorphic functions and making an attempt to obtain an upper bound (UB) to the second and third order Hankel determinants by applying certain lemmas, Toeplitz determinants, for the normalized analytic functions belong to these classes, defined on the open unit disc in the complex plane. For one of the inequality, we have obtained sharp bound.

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来源期刊

Ural Mathematical Journal Mathematics-Mathematics (all)

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

16 weeks