The growth and 1/4-theorems for starlike mappings in \(\mathbb{C}^ n\)

DOI10.2140/pjm.1991.150.13zbMath0737.32005OpenAlexW1968073466MaRDI QIDQ1177394

Roger W. Barnard, Carl H. FitzGerald, Sheng Gong

Publication date: 26 June 1992

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1991.150.13

zbMATH Keywords

starlike mappingsgrowth theoremKoebe (1/4)-theorem

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Other generalizations of function theory of one complex variable (32A30)

Related Items (24)

Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation ⋮ Growth and distortion theorems for slice monogenic functions ⋮ Sharp distortion theorems for a class of biholomorphic mappings in several complex variables ⋮ Distortion of biholomorphic maps on homogeneous domains in \(J^*\)-algebras ⋮ On the precise growth, covering, and distortion theorems for normalized biholomorphic mappings ⋮ Sharp growth and distortion theorems for a subclass of biholomorphic mappings ⋮ Slice spirallike functions over quaternions ⋮ Applications of a decomposition of holomorphic mappings in \(\mathbb C^n\) with respect to a cyclic group ⋮ Loewner chains applied to \(g\)-starlike mappings of complex order of complex Banach spaces ⋮ Unnamed Item ⋮ On biholomorphic mappings in complex Banach spaces ⋮ Schwarz lemma at the boundary of the unit ball in \(\mathbb C^n\) and its applications ⋮ Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables ⋮ Distortion and covering theorems of pluriharmonic mappings ⋮ Almost spirallike mappings of type and complex order on the unit ball ⋮ Biholomorphic mappings on bounded starlike circular domains ⋮ The growth theorems for subclasses of biholomorphic mappings in several complex variables ⋮ An application from partial sums of \(e^ z\) to a problem in several complex variables ⋮ Growth and distortion theorems for almost starlike mappings of complex order \(\lambda\) ⋮ Janowski-starlike mappings of complex order \(\lambda\) on the unit ball \(B^n\) ⋮ On an application of Jack's lemma, starlikeness and \(k\)-fold symmetry in \(\mathbb{C}^n\) ⋮ Growth theorems for a subclass of strongly spirallike functions ⋮ The growth, covering and distortion theorems for a subclass of convex mappings ⋮ The growth theorem and distortion theorem of spirallike mappings on \(B_p\)

This page was built for publication: The growth and 1/4-theorems for starlike mappings in \(\mathbb{C}^ n\)