Growth theorems for slice Dirac-regular mappings over Clifford algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917247037997056 |
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| author | Yang, Ting Dou, Xinyuan |
| author_facet | Yang, Ting Dou, Xinyuan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_04156 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Growth theorems for slice Dirac-regular mappings over Clifford algebras Yang, Ting Dou, Xinyuan Complex Variables 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. |
| title | Growth theorems for slice Dirac-regular mappings over Clifford algebras |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2602.04156 |