Starlikeness for functions of a hypercomplex variable

DOI10.1090/proc/13256zbMath1369.30059OpenAlexW2358048934MaRDI QIDQ5298201

Anna Gori, Fabio Vlacci

Publication date: 14 December 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2434/465552

zbMATH Keywords

convex functionsstar-like functionsregular functions of one quaternionic variable

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (5)

Unnamed Item ⋮ Slice spirallike functions over quaternions ⋮ Slice starlike functions over quaternions ⋮ Unnamed Item ⋮ On a Criterion of Local Invertibility and Conformality for Slice Regular Quaternionic Functions

Cites Work

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• Twistor transforms of quaternionic functions and orthogonal complex structures
• Convolution conditions for convexity starlikeness, and spiral-likeness
• Elements of geometric theory for functions of quaternionic variable
• A new theory of regular functions of a quaternionic variable
• The principle of subordination applied to functions of several variables
• Regular Functions of a Quaternionic Variable
• On some geometric properties of slice regular functions of a quaternion variable
• The Open Mapping Theorem for Regular Quaternionic Functions
• A Generalization of Study's Theorem on Convex Maps

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