Coefficient estimates for certain subclasses of biunivalent functions defined by convolution
type: Item
instance of: scholarly article
title: Coefficient estimates for certain subclasses of biunivalent functions defined by convolution
zbMATH Open document ID: 1356.30016
DOI: 10.1155/2016/6958098
author: Yong-Cai Geng
author: Sumit K. Garg
published in: International Journal of Analysis
publication date: 2017-01-05T00:00:00Z
review text: Summary: We introduce two new subclasses of the function class \(\Sigma\) of biunivalent functions in the open disc defined by convolution. Estimates on the coefficients \(|a_2|\) and \(|a_3|\) for the two subclasses are obtained. Moreover, we verify Brannan and Clunie's conjecture \(|a_2| \leq \sqrt{2}\) for our subclasses.
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 30C50
zbMATH DE Number: 6670787
zbMATH Keywords: new classes of analytic functions in the disk
zbMATH Keywords: star-like functions
zbMATH Keywords: coefficient estimates
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/6958098
OpenAlex ID: W2550622393
Wikidata QID: Q59123922
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description: scientific article; zbMATH DE number 6670787