On the coefficient inequality for a subclass of strongly starlike mappings of order \(\alpha \) in several complex variables

DOI10.1007/s00025-018-0837-2zbMath1395.32005OpenAlexW2801535181MaRDI QIDQ722491

Xuan Xu, Qing-Hua Xu

Publication date: 23 July 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0837-2

zbMATH Keywords

star-like mappingsFekete-Szegő problemcoefficient problems

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Infinite-dimensional holomorphy (46G20) Other generalizations of function theory of one complex variable (32A30) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (4)

On the coefficient inequality on a bounded starlike circular domain in \(\mathbb{C}^n\) ⋮ Some refinements of the Fekete and Szegö inequalities in one and higher dimensions ⋮ The Bohr-type inequalities for holomorphic mappings with a lacunary series in several complex variables ⋮ Fekete and Szegö inequality for a subclass of almost spirallike mappings of type β and order α on the bounded starlike circular domain in ℂ ⁿ

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Growth, distortion and coefficient bounds for Carathéodory families in \(\mathbb C^n\) and complex Banach spaces
• Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation
• Fekete and Szegő problem for a subclass of quasi-convex mappings in several complex variables
• Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables
• On coefficient estimates for a class of holomorphic mappings
• The growth theorem for starlike mappings on bounded starlike circular domains
• Loewner chains and parametric representation in several complex variables
• On the Fekete and Szegö problem for the class of starlike mappings in several complex variables
• On the Fekete and Szegö problem for starlike mappings of order \(\alpha\)
• On the Fekete and Szegö inequality for a subclass of strongly starlike mappings of order \(\alpha \)
• On some best bounds for coefficients of several subclasses of biholomorphic mappings in Cⁿ
• Parametric Representation of Univalent Mappings in Several Complex Variables
• Eine Bemerkung Über Ungerade Schlichte Funktionen

This page was built for publication: On the coefficient inequality for a subclass of strongly starlike mappings of order \(\alpha \) in several complex variables