The sharp bound of the third Hankel determinant for certain subfamilies of analytic functions

UDC 517.5 We study an upper bound and the sharp bound of the third-order Hankel determinant for some subfamilies of analytic functions for the parameters $\alpha\in(1,4/3]$ and $\alpha=3/2,$ respectively, also proving the recent conjecture  for the sharp bounds made in [Vir...

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Bibliographic Details
Date:2024
Main Authors: Rath, Biswajit, Kumar, K. Sanjay, Krishna, D. Vamshee, Viswanadh, G. K. Surya
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2024
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7524
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal