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arXiv · 2602.04156

Growth theorems for slice Dirac-regular mappings over Clifford algebras

Ting Yang·Xinyuan Dou
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Abstract

In this paper, we define a class of slice Dirac-regular mappings of several variables over Clifford algebras, based on the concept of O(3)-stem mappings. We prove that the slice mappings vanish under the slice Dirac operator, which is equivalent to its O(3)-stem mappings satisfy the generalized version of the Cauchy-Riemann equation. Moreover, we establish the growth theorem for slice Dirac-regular starlike mappings in the slice cones of Clifford algebras, as well as for slice Dirac-regular k-fold symmetric mappings.

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Ting Yang, Xinyuan Dou. 2026-02-04. Growth theorems for slice Dirac-regular mappings over Clifford algebras. https://arxiv.org/abs/2602.04156

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