作为覆盖图的 $$*$$ - 指数

Pub Date : 2024-08-17 DOI:10.1007/s40315-024-00558-z

Amedeo Altavilla, Samuele Mongodi

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引用次数: 0

摘要

我们运用复分析的工具来构造四元片正则函数的（*）-对数。我们的方法使我们能够实现三个主要目标：我们计算了与$*$-指数相关的单色性；我们建立了两个$*$-指数的$*$-乘积也是$*$-指数的充分条件；我们计算了正则函数的$*$-指数的切片导数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The $$*$$ -Exponential as a Covering Map

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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