Coefficient inequality for certain subclasses of univalent functions

Aini Janteng and Suzeini Abdul Halim and Maslina Darus (2005) Coefficient inequality for certain subclasses of univalent functions. Far East Journal of Mathematical Sciences (FJMS), 19. pp. 1-10. ISSN 0972-0871

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Abstract

Let f (z)= z+ ∑_(n=2)^∞▒〖a_n z^n 〗 an analytic and univalent function in the unit disk D = {z├∶┤|├ z┤| z < ├ 1}. The purpose of the present paper is to introduce the functional |a_4-μa^(2/3) | when µ is real. We give sharp upper bounds for |a_4-μa^(2/3) | for certain subclasses of univalent functions. The results obtained are sharp.

Item Type: Article
Keyword: Fekete-Szegö functional , Hankel determinant , Real positive and starlike functions
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics
Department: FACULTY > Faculty of Science and Natural Resources
Depositing User: DG MASNIAH AHMAD -
Date Deposited: 01 Aug 2022 14:19
Last Modified: 01 Aug 2022 14:19
URI: https://eprints.ums.edu.my/id/eprint/33568

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