Subject: Mathematics - Complex Variables
Subject: Mathematics - Complex Variables

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Year: 2019

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Title: Hankel determinant of second order for some classes of analytic functions

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Author: Milutin Obradovic
Author: Nikola Tuneski

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Abstract: Let $f$ be analytic in the unit disk $\mathbb D$ and normalized so that $f(z)=z+a_2z^2+a_3z^3+\cdots$. In this paper, we give upper bounds of the Hankel determinant of second order for the classes of starlike functions of order $\alpha$, Ozaki close-to-convex functions and two other classes of analytic functions. Some of the estimates are sharp.

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Identifier: oai:repository.ukim.mk:20.500.12188/1785
Identifier: http://hdl.handle.net/20.500.12188/1785

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