Coefficient Estimates for a Subclass of Univalent Functions with Respect to Symmetric Points

Aini Janteng, and Suzeini Abdul Halim, (2013) Coefficient Estimates for a Subclass of Univalent Functions with Respect to Symmetric Points. In: 4th International Conference on the Advancement of Science and Technology 2012: Contemporary Mathematics, Mathematical Physics and Their Applications, iCAST 2012, 7-10 November 2012, Kuantan, Pahang.

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Abstract

Let A be the class of functions which are analytic in the open unit disc D = {z:|Z|<1} given by f(z) = z + ∑∞ n=2|a nzn , z ∈ D. We denote by S the subclass of A consisting of all functions in A which are also univalent in D. In this paper, the subclasses of S denoted by Cs(g) and K*s(g) are introduced. We obtain coefficient bounds for f ∞ Cs(g) and f ∞ K*s(g). These results generalize many known results.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Uncontrolled Keywords: Coefficient bounds, Unit disc, Univalent function
Subjects: Q Science > QA Mathematics
Divisions: SCHOOL > School of Science and Technology
Depositing User: MDM SITI AZIZAH IDRIS
Date Deposited: 22 Oct 2013 02:43
Last Modified: 22 Oct 2013 02:43
URI: http://eprints.ums.edu.my/id/eprint/7337

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