Bounds for the second Hankel determinant of certain univalent functions

Liew, P. H and Fuah, K. H and Aini Janteng (2016) Bounds for the second Hankel determinant of certain univalent functions. Global Journal of Pure and Applied Mathematics, 12 (2). pp. 1375-1385. ISSN 0973-1768

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Abstract

The estimates for the second Hankel determinant a_2 a_4-a_3^2 of the analytic function f(z)=z+a_2 z^2+a_3 z^3+⋯, for which either zf^' (z)/f(z) or 1+zf^'' (z)/f^' (z) is subordinate to a certain analytic function, are investigated. The estimates for the Hankel determinant for two other classes are also obtained. In particular, the estimates for the Hankel determinant of strongly starlike, parabolic starlike and lemniscate starlike functions are obtained.

Item Type:	Article
Keyword:	Analytic , Hankel determinant , Upper bound
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics > QA299.6-433 Analysis
Department:	FACULTY > Faculty of Science and Natural Resources
Depositing User:	DG MASNIAH AHMAD -
Date Deposited:	03 Aug 2022 12:06
Last Modified:	03 Aug 2022 12:06
URI:	https://eprints.ums.edu.my/id/eprint/33661

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