Certain new classes of analytic functions with varying arguments
type: Item
instance of: scholarly article
title: Certain new classes of analytic functions with varying arguments
zbMATH Open document ID: 1268.30014
DOI: 10.1155/2013/958210
author: M. K. Aouf
author: A. A. M. Hassan
author: A. H. Hassan
author: R. M. El-Ashwah
published in: Journal of Complex Analysis
publication date: 2013-07-25T00:00:00Z
review text: Summary: We introduce certain new classes \(\kappa \text{-} V\text{ST}(\alpha, \beta)\) and \(\kappa \text{-} V\text{UCV}(\alpha, \beta)\), which represent the \(\kappa \) uniformly starlike functions of order \(\alpha \) and type \(\beta \) with varying arguments and the \(\kappa \) uniformly convex functions of order \(\alpha \) and type \(\beta \) with varying arguments, respectively. Moreover, we give coefficients estimates, distortion theorems, and extreme points of these classes.
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 6191263
Wikidata QID: Q59006682
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/958210
OpenAlex ID: W2021719307
cites work: Some classes of analytic functions associated with conic regions
cites work: Q4346899
cites work: Classes of uniformly starlike and convex functions
cites work: Uniformly Convex Functions and a Corresponding Class of Starlike Functions
cites work: Conic regions and \(k\)-uniform convexity
cites work: Q4533253
cites work: On uniformly convex functions
cites work: On uniformly starlike functions
cites work: Uniformly convex functions
cites work: Q4035979
cites work: Q3926839
description: scientific article; zbMATH DE number 6191263