Some properties of the slice regular Schwarzians

DOI10.1007/s11785-021-01167-7zbMath1493.30098OpenAlexW4205299716MaRDI QIDQ2075621

José Óscar González-Cervantes

Publication date: 15 February 2022

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-021-01167-7

zbMATH Keywords

univalent functionsquaternionic slice regular SchwarziansRiccati-type slice regular differential equations

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Cites Work

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• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• The Schwarzian derivative for harmonic mappings
• On the Schwarz derivative, the Bloch space and the Dirichlet space
• Bloch, Besov and Dirichlet spaces of slice hyperholomorphic functions
• On the slice regular Schwarz derivative
• Carathéodory theorems for slice regular functions
• The Schwarzian derivative and multivalence
• The C-property for slice regular functions and applications to the Bergman space
• Regular Functions of a Quaternionic Variable
• Univalence results for slice regular functions of a quaternion variable
• Complex Nonoscillation Theorems and Criteria of Univalence
• Finding complete conformal metrics to extend conformal mappings
• The Schwarz-Pick lemma for slice regular functions
• A Structure Formula for Slice Monogenic Functions and Some of its Consequences
• Schwarzian derivative criteria for valence of analytic and harmonic mappings
• Complex Riccati differential equations revisited
• The Schwarzian derivative and schlicht functions

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