有界转折函数第 k 次根式变换的第三个汉克尔行列式的锐界

IF 0.3 Q4 MATHEMATICS Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2023-12-01 DOI:10.12697/acutm.2023.27.15

H. Srivastava, Biswajit Rath, Sanjay Kumar Karri, V. D.

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引用次数: 0

摘要

本文的目的是估计开单位盘D:= {z∈C: |z| < 1}上导数有正实部满足归一化条件f(0) = 0和f '(0) = 1的函数类的k根变换的第三个Hankel行列式的尖界。

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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The sharp bound of the third Hankel determinant of the kth-root transformation for bounded turning functions

The objective of this paper is to estimate the sharp bound of the third Hankel determinant for the kth-root transformation to the class of functions whose derivative has a positive real part satisfying the normalized conditions f(0) = 0 and f′(0) = 1 in the open unit disk D := {z ∈ C : |z| < 1}.

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