Two-sided slice regular functions

Xinyuan Dou; Haosen Liu; Ting Yang*

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arXiv · 2610.05245

Two-sided slice regular functions

Xinyuan Dou·Haosen Liu·Ting Yang*

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Abstract

In this paper, we introduce two types of two-sided slice regular functions, which are left slice regular in the first variable and right slice regular in the second variable. We prove that these two classes of functions coincide on axially symmetric domains. We further investigate fundamental properties of two-sided slice regular functions and define a star-product that preserves this regularity. In addition, we establish the Cauchy integral formula for these functions.

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BibTeX RIS

Xinyuan Dou, Haosen Liu, Ting Yang*. 2026-10-04. Two-sided slice regular functions. https://arxiv.org/abs/2610.05245

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