Coefficient bounds for convex functions of bounded type-Reference-Cited by-同舟云学术

Coefficient bounds for convex functions of bounded type

Published:1988 Issue:2 Volume:103 Page:525-530
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Wirths K.-J.

Abstract

A normalized univalent function is called convex of bounded type if the curvature of the curve bounding the image domain of the unit disc lies between two fixed positive numbers. Sharp bounds for the modulus of the second and the third Taylor coefficient of such functions are derived. The proof concerning the second coefficient is based on a maximum-minimum principle for locally univalent functions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-103-02/S0002-9939-1988-0943079-5/S0002-9939-1988-0943079-5.pdf

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