On the Fekete and Szegö problem for the class of starlike mappings in several complex variables
type: Item
instance of: scholarly article
title: On the Fekete and Szegö problem for the class of starlike mappings in several complex variables
zbMATH Open document ID: 1474.30136
DOI: 10.1155/2014/807026
author: Qing-Hua Xu
author: Taishun Liu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Let \(\mathcal{S}\) be the familiar class of normalized univalent functions in the unit disk. Fekete and Szegö proved the well-known result \(\max_{f \in \mathcal{S}} \left|a_3 - \lambda a_2^2\right| = 1 + 2 e^{- 2 \lambda /(1 - \lambda}\) for \(\lambda \in \left[0, 1\right]\). We investigate the corresponding problem for the class of starlike mappings defined on the unit ball in a complex Banach space or on the unit polydisk in \(\mathbb{C}^n\), which satisfies a certain condition.
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 7023113
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/807026
OpenAlex ID: W2145206426
Wikidata QID: Q59041666
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description: scientific article; zbMATH DE number 7023113