On a quaternionic Picard theorem

Cinzia Bisi; Joerg Winkelmann

doi:10.1090/bproc/54

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arXiv · 2006.15388

On a quaternionic Picard theorem

Cinzia Bisi·Joerg Winkelmann

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Abstract

The classical theorem of Picard states that a non-constant holomorphic function $f:\mathbb{C}\to\mathbb{C}$ can avoid at most one value. We investigate how many values a non-constant slice regular function of a quaternionic variable $f:\mathbb{H}\to\mathbb{H}$ may avoid.

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Cinzia Bisi, Joerg Winkelmann. 2020-06-27. On a quaternionic Picard theorem. https://doi.org/10.1090/bproc%2F54

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