| Residential College | false |
| Status | 已發表Published |
| An alternative proof of Fueter's theorem | |
Dixan Peña Peña1 ; Tao Qian2; Frank Sommen1
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| 2006-08-11 | |
| Source Publication | Complex Variables and Elliptic Equations
 |
| ISSN | 1747-6933 |
| Volume | 51Issue:8-11Pages:913--922 |
| Abstract | In this article we establish an alternative proof of the generalized Fueter method presented in a former paper [Qian, T. and Sommen, F., 2003, Deriving harmonic functions in higher dimensional spaces. Zeitschrift fur Analysis und ihre Anwendungen, 22(2), 275–288] leading to the construction of special harmonic and monogenic functions in higher dimensions. At the same time, we also obtain a generalization of this result. |
| Keyword | Dirac Operators Monogenic Functions Vekua Systems |
| DOI | 10.1080/17476930600667650 |
| Language | 英語English |
| Fulltext Access | |
| Citation statistics | |
| Document Type | Journal article |
| Collection | Faculty of Science and Technology |
| Corresponding Author | Dixan Peña Peña |
| Affiliation | 1.Department of Mathematical Analysis, Ghent University, Galglaan 2, B-9000 Gent, Belgium 2.Faculty of Science and Technology, University of Macau, P.O. Box 3001, Macau |
| Recommended Citation GB/T 7714 | Dixan Peña Peña,Tao Qian,Frank Sommen. An alternative proof of Fueter's theorem[J]. Complex Variables and Elliptic Equations, 2006, 51(8-11), 913--922. |
| APA | Dixan Peña Peña., Tao Qian., & Frank Sommen (2006). An alternative proof of Fueter's theorem. Complex Variables and Elliptic Equations, 51(8-11), 913--922. |
| MLA | Dixan Peña Peña,et al."An alternative proof of Fueter's theorem".Complex Variables and Elliptic Equations 51.8-11(2006):913--922. |
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