Skew analysis over quaternions. I

Masood Aryapoor

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arXiv · 2211.07006

Skew analysis over quaternions. I

Masood Aryapoor

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Abstract

We introduce a class of rings using which we define the concept of skew regularity for quaternion-valued functions over quaternions. It is shown that the notion of skew regularity coincides with the concept of slice regularity over symmetric slice domains. Known results regarding slice-regular functions over symmetric slice domains are generalized to skew-regular functions over general symmetric domains. Furthermore, we present new results concerning slice-regular functions.

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Masood Aryapoor. 2022-11-13. Skew analysis over quaternions. I. https://arxiv.org/abs/2211.07006

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