Bounded starlike functions of complex order
type: Item
instance of: scholarly article
title: Bounded starlike functions of complex order
zbMATH Open document ID: 0548.30004
DOI: 10.1007/BF02863012
author: N. E. Zubov
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1983-01-01T00:00:00Z
review text: Suppose that \(M>{1\over2}\) and \(b\neq 0\), and denote by F(b,M) the class of analytic functions f(z) subject to the conditions \[ (i)\quad f(z)/z\neq 0,\quad (ii)\quad| b-1+zf'(z)(f(z))^{-1}-bM| <| bM| \] in the unit disk. Using standard techniques the authors obtain some coefficient bounds and the radius of starlikeness of the class F(b,M).
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 3873646
zbMATH Keywords: bounded spirallike functions
zbMATH Keywords: coefficient bounds
zbMATH Keywords: radius of starlikeness
reviewed by: Eligiusz Złotkiewicz
MaRDI profile type: Publication
cites work: On Meromorphic Schlicht Functions
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cites work: On a class of bounded starlike functions
full work available at URL: https://doi.org/10.1007/bf02863012
OpenAlex ID: W2088382681
description: scientific article; zbMATH DE number 3873646