Certain classes of analytic functions with varying arguments
type: Item
instance of: scholarly article
title: Certain classes of analytic functions with varying arguments
zbMATH Open document ID: 0643.30008
DOI: 10.1016/0022-247X(88)90127-8
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: For the subclasses \({\mathcal B}_{\alpha}\) and \({\mathcal C}_{\alpha}\) of analytic functions satisfying \[ Re\{f(z)/z\}>\alpha \quad (0\leq \alpha <1)\quad and\quad Re\{f'(z)\}>\alpha \quad (0\leq \alpha <1), \] respectively, the authors prove various coefficient inequalities and distortion theorems, and determine the radius of convexity and starlikeness of such functions. They also consider an interesting application of the fractional calculus involving analytic functions belonging to these subclasses.
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 4048022
zbMATH Keywords: radius of convexity
zbMATH Keywords: fractional calculus
zbMATH Keywords: radius of starlikeness
author: H. M. Srivastava
author: Shigeyoshi Owa
reviewed by: H. M. Srivastava
MaRDI profile type: Publication
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full work available at URL: 0022-247x(88)90127-8
OpenAlex ID: W1987191490
description: scientific article; zbMATH DE number 4048022