Neighborhoods of a certain class of analytic functions with negative coefficients
type: Item
instance of: scholarly article
title: Neighborhoods of a certain class of analytic functions with negative coefficients
zbMATH Open document ID: 1165.30005
author: Adriana Cătaş
published in: Banach Journal of Mathematical Analysis
publication date: 2008-12-09T00:00:00Z
full work available at URL: https://eudml.org/doc/55767
full work available at URL: v3n1.htm
review text: The author introduces a subclass of analytic functions in the open disc with negative coefficients. This new class is defined by means of multiplier transformations. Using the familiar concept of neighborhoods of analytic functions, the author proves coefficient inequalities, distortion theorems and associated inclusion relations for the \((n,\delta)\)-neighborhoods of functions belonging to the new class, which satisfy a certain nonhomogeneous Cauchy-Euler differential equation.
reviewed by: Arun Kumar Agarwal
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 30C50
zbMATH DE Number: 5379954
zbMATH Keywords: analytic function with negative coefficients
zbMATH Keywords: \((n,\delta)\)-neighborhood of an analytic function
MaRDI profile type: Publication
OpenAlex ID: W2047403443
DOI: 10.15352/BJMA/1240336428
description: scientific article; zbMATH DE number 5379954