On bounded functions related to spirallike functions of complex order
type: Item
instance of: scholarly article
zbMATH Open document ID: 0996.30008
publication date: 2002-07-02T00:00:00Z
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 1671434
zbMATH Keywords: bounded function
zbMATH Keywords: spirallike functions complex order
zbMATH Keywords: Ruscheweyh derivative
author: F. M. Al-Oboudi
MaRDI profile type: Publication
title: On bounded functions related to spirallike functions of complex order
published in: Mathematical Sciences Research Hot-Line
review text: In this study the author is giving the coefficient inequality for the class of the bounded functions related to the spirallike functions of complex order (i.e \(S_n^\lambda (b,M))\) by using \(n\)th Ruscheweyh derivative and the method of Clunie (Theorem 2) The maximization of \(|a_3- \mu a_2^2|\) is given \((\mu\) is complex, theorem 3). Similarly by using the definition of convolution the necessary and sufficient condition is given for a function to be in \(S_n^\lambda (b,M)\) (theorem 4). Further the sufficient condition in terms of coefficient for a function to belong to \(S^\lambda_n (b<M)\). All results of this study are new.
reviewed by: Metin Bolcal
description: scientific article; zbMATH DE number 1671434