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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...