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.
The *-Exponential as a Covering Map
Amedeo Altavilla
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2025-01-01
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.File in questo prodotto:
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