THE CORRESPONDING CAUCHY - RIEMANN SYSTEM FOR DUAL QUATERNION-VALUED FUNCTIONS
This paper provides differential operators in dual quaternions and represents the regularity of dual quaternionvalued functions using the dual Cauchy - Riemann system in dual quaternions. Also, we give the corresponding Cauchy theorem of the dual quaternion-valued function in Clifford analysis.
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| Formato: | Artigo |
| Idioma: | English |
| Publicado em: |
Petrozavodsk State University
2018-06-01
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| coleção: | Проблемы анализа |
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| Acesso em linha: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=4830&lang=ru |
| Resumo: | This paper provides differential operators in dual quaternions and represents the regularity of dual quaternionvalued functions using the dual Cauchy - Riemann system in dual quaternions. Also, we give the corresponding Cauchy theorem of the dual quaternion-valued function in Clifford analysis. |
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| ISSN: | 2306-3424 2306-3432 |