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Bohr theorems for slice regular functions over octonions
- Source :
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 151:1595-1610
- Publication Year :
- 2020
- Publisher :
- Cambridge University Press (CUP), 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.
Details
- ISSN :
- 14737124 and 03082105
- Volume :
- 151
- Database :
- OpenAIRE
- Journal :
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Accession number :
- edsair.doi...........a4954fd66a4e6851867065b2b3a46a16