Growth theorems for slice Dirac-regular mappings over Clifford algebras

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Authors: Ting Yang, Xinyuan Dou
Cited by: 0

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.

Fields of Study & Subjects

Algebraic and Geometric Analysis Analytic and geometric function theory Mathematics and Applications

Publication details

Journal / source
arXiv (Cornell University)
Publication date
4 February 2026
Document type
Preprint