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A note on the Bieberbach conjecture for some classes of slice regular functions
Gori, Anna
Vlacci, Fabio
2021
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e-ISSN
2464-8728
Abstract
In this note we prove the Bieberbach conjecture for some
classes of quaternionic functions, including quaternionic slice regular
functions with specific geometric properties such as starlike and convex
functions. At the same time, we investigate some interesting properties
related to the concepts of starlikeness for these quaternionic slice regular
functions. Furthermore, we introduce and obtain generalizations and
results for the class of quaternionic Carath´eodory functions, such as a
version of Rogosinski’s Theorem over the quaternions.
Publisher
EUT Edizioni Università di Trieste
Source
Anna Gori, Fabio Vlacci, "A note on the Bieberbach conjecture for
some classes of slice regular functions" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.53 (2021)", EUT Edizioni Università di Trieste, Trieste, 2021. pp.
some classes of slice regular functions" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.53 (2021)", EUT Edizioni Università di Trieste, Trieste, 2021. pp.
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
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