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. 13751385. ISSN 09731768
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Bounds for the second Hankel determinant of certain univalent functions.ABSTRACT.pdf Download (100kB) 

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Abstract
The estimates for the second Hankel determinant a_2 a_4a_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 > QA1939 Mathematics > QA299.6433 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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