Locally univalent functions and coefficient distortions
type: Item
instance of: scholarly article
title: Locally univalent functions and coefficient distortions
zbMATH Open document ID: 0357.30009
author: H. Silverman
author: D. N. Telage
author: E. M. Silvia
published in: Pacific Journal of Mathematics
publication date: 1978-01-01T00:00:00Z
review text: We look at functions \(f(z) = z + \displaystyle\sum_{n=2}^\infty a_nz^n\) satisfying \(\displaystyle\sum_{n=2}^\infty n \vert a_n\vert > 1\) and determine conditions for which the arguments of the coefficients may vary without affecting the univalence of the function. A bound on the radius of starlikeness for the convolution of functions taken from the closed convex hull of convex functions and a special subclass of starlike functions is also obtained.
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 30C50
zbMATH DE Number: 3556395
zbMATH Keywords: locally univalent functions
zbMATH Keywords: coefficient distortions
zbMATH Keywords: radius of starlikeness
MaRDI profile type: Publication
full work available at URL: pjm.1978.77.533
OpenAlex ID: W2089179373
DOI: 10.2140/PJM.1978.77.533
description: scientific article; zbMATH DE number 3556395