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Bohr theorems for slice regular functions over octonions
Published online by Cambridge University Press: 21 October 2020
Abstract
In this paper, we mainly investigate two versions of the Bohr theorem for slice regular functions over the largest alternative division algebras of octonions $\mathbb {O}$. To this end, we establish the coefficient estimates for self-maps of the unit ball of $\mathbb {O}$ and the Carathéodory class in this setting. As a further application of the coefficient estimate, the 1/2-covering theorem is also proven for slice regular functions with convex image.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 151 , Issue 5 , October 2021 , pp. 1595 - 1610
- Copyright
- Copyright © The Author(s) 2020. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh
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