New subclasses concerning some analytic and univalent functions
type: Item
instance of: scholarly article
title: New subclasses concerning some analytic and univalent functions
zbMATH Open document ID: 1392.30007
DOI: 10.1155/2017/4674782
published in: Chinese Journal of Mathematics
publication date: 2018-08-03T00:00:00Z
review text: Summary: Considering a function \(f(z) = z/ \left(1 - z^2\right)\) which is analytic and starlike in the open unit disc \(U\) and a function \(f(z) = z/ \left(1 - z\right)\) which is analytic and convex in \(U\), we introduce two new classes \(\mathcal{S}_\alpha^\ast(\beta)\) and \(\mathcal{K}_\alpha(\beta)\) concerning \(f_\alpha(z) = z / \left(1 - z^\alpha\right)(\alpha > 0)\). The object of the present paper is to discuss some interesting properties for functions in the classes \(\mathcal{S}_\alpha^\ast(\beta)\) and \(\mathcal{K}_\alpha(\beta)\).
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 30C50
zbMATH DE Number: 6912918
author: Maslina Darus
author: Shigeyoshi Owa
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/4674782
OpenAlex ID: W2748127997
cites work: Q3660033
cites work: On the theory of univalent functions
cites work: Partial sums of analytic functions of bounded turning with applications
cites work: Partial sums of certain univalent functions
description: scientific article; zbMATH DE number 6912918