Data di Pubblicazione:
2021
Citazione:
A note on the Bieberbach conjecture for some classes of slice regular functions / A. Gori, F. Vlacci. - In: RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE. - ISSN 0049-4704. - 53:19(2021), pp. 1-16. [10.13137/2464-8728/33302]
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Bieberbach conjecture; Regular functions of one quaternionic variable; starlike functions
Elenco autori:
A. Gori, F. Vlacci
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