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arXiv · 1010.5609

Coefficient estimates for close-to-convex functions with argument $\beta$

Li-Mei Wang
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Abstract

This paper deals with coefficient estimates for close-to-convex functions with argument $\beta$ ($-\pi/2<\beta<\pi/2$). By using Herglotz representation formula, sharp bounds of coefficients are obtained. In particluar, we solve the problem posed by A. W. Goodman and E. B. Saff in $\cite{GS}$. Finally some complicted computations yield the explicit estimate of the third coefficient.

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Li-Mei Wang. 2010-10-27. Coefficient estimates for close-to-convex functions with argument $\beta$. https://arxiv.org/abs/1010.5609

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