On close-to-convex functions of complex order
type: Item
instance of: scholarly article
title: On close-to-convex functions of complex order
zbMATH Open document ID: 0702.30012
DOI: 10.1155/S0161171290000473
author: Thotage S. Fernando
author: H. S. Al-Amiri
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46485
review text: The authors study some multiparametrized families of analytic function of the unit disk, and give some coefficients and distortion results. Neither are the authors aware that their definitions do not include the usual class of close-to-convex functions for \(b=1\) and \(n=0\) as they define their functions with the aid of a normalized starlike function, and so Remark 2.2 does not apply, nor are all theorems stated correctly, e.g. is Theorem 2.1 not sharp as stated if b is not real and positive.
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 4150585
zbMATH Keywords: Ruscheweyh derivatives
zbMATH Keywords: Hadamard product
zbMATH Keywords: convolution
zbMATH Keywords: close-to-convex functions
reviewed by: W. Koepf
MaRDI profile type: Publication
OpenAlex ID: W2168121404
description: scientific article; zbMATH DE number 4150585