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arXiv · 2310.01137

The $*$-exponential as a covering map

Amedeo Altavilla·Samuele Mongodi
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Abstract

We employ tools from complex analysis to construct the $*$-logarithm of a quaternionic slice regular function. Our approach enables us to achieve three main objectives: we compute the monodromy associated with the $*$-exponential; we establish sufficient conditions for the $*$-product of two $*$-exponentials to also be a $*$-exponential; we calculate the slice derivative of the $*$-exponential of a regular function.

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Amedeo Altavilla, Samuele Mongodi. 2023-10-02. The $*$-exponential as a covering map. https://arxiv.org/abs/2310.01137

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