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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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2018-06-01
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| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=4830&lang=ru |
| _version_ | 1818888289158955008 |
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| author | Kim J.E. |
| author_facet | Kim J.E. |
| author_sort | Kim J.E. |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-19T16:50:45Z |
| format | Article |
| id | doaj.art-44d958c3471b41f8a07a1a08dcca2db0 |
| institution | Directory Open Access Journal |
| issn | 2306-3424 2306-3432 |
| language | English |
| last_indexed | 2024-12-19T16:50:45Z |
| publishDate | 2018-06-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj.art-44d958c3471b41f8a07a1a08dcca2db02022-12-21T20:13:33ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322018-06-017(25)1596910.15393/j3.art.2018.4830THE CORRESPONDING CAUCHY - RIEMANN SYSTEM FOR DUAL QUATERNION-VALUED FUNCTIONSKim J.E.0Department of Mathematics, Dongguk University 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.http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=4830&lang=ruquaternion ◆ dual number ◆ Cauchy - Riemann system ◆ Cauchy theorem ◆ Clifford analysis |
| spellingShingle | Kim J.E. THE CORRESPONDING CAUCHY - RIEMANN SYSTEM FOR DUAL QUATERNION-VALUED FUNCTIONS Проблемы анализа quaternion ◆ dual number ◆ Cauchy - Riemann system ◆ Cauchy theorem ◆ Clifford analysis |
| title | THE CORRESPONDING CAUCHY - RIEMANN SYSTEM FOR DUAL QUATERNION-VALUED FUNCTIONS |
| title_full | THE CORRESPONDING CAUCHY - RIEMANN SYSTEM FOR DUAL QUATERNION-VALUED FUNCTIONS |
| title_fullStr | THE CORRESPONDING CAUCHY - RIEMANN SYSTEM FOR DUAL QUATERNION-VALUED FUNCTIONS |
| title_full_unstemmed | THE CORRESPONDING CAUCHY - RIEMANN SYSTEM FOR DUAL QUATERNION-VALUED FUNCTIONS |
| title_short | THE CORRESPONDING CAUCHY - RIEMANN SYSTEM FOR DUAL QUATERNION-VALUED FUNCTIONS |
| title_sort | corresponding cauchy riemann system for dual quaternion valued functions |
| topic | quaternion ◆ dual number ◆ Cauchy - Riemann system ◆ Cauchy theorem ◆ Clifford analysis |
| url | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=4830&lang=ru |
| work_keys_str_mv | AT kimje thecorrespondingcauchyriemannsystemfordualquaternionvaluedfunctions AT kimje correspondingcauchyriemannsystemfordualquaternionvaluedfunctions |