The Regularity of Functions on Dual Split Quaternions in Clifford Analysis
This paper shows some properties of dual split quaternion numbers and expressions of power series in dual split quaternions and provides differential operators in dual split quaternions and a dual split regular function on Ω⊂ℂ2×ℂ2 that has a dual split Cauchy-Riemann system in dual split quaternions...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/369430 |
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| _version_ | 1832561195236720640 |
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| author | Ji Eun Kim Kwang Ho Shon |
| author_facet | Ji Eun Kim Kwang Ho Shon |
| author_sort | Ji Eun Kim |
| collection | DOAJ |
| description | This paper shows some properties of dual split quaternion numbers and expressions of power series in dual split quaternions and provides differential operators in dual split quaternions and a dual split regular function on Ω⊂ℂ2×ℂ2 that has a dual split Cauchy-Riemann system in dual split quaternions. |
| format | Article |
| id | doaj-art-0452df89eac049139ebbb37857831b85 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0452df89eac049139ebbb37857831b852025-02-03T01:25:38ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/369430369430The Regularity of Functions on Dual Split Quaternions in Clifford AnalysisJi Eun Kim0Kwang Ho Shon1Department of Mathematics, Pusan National University, Busan 609-735, Republic of KoreaDepartment of Mathematics, Pusan National University, Busan 609-735, Republic of KoreaThis paper shows some properties of dual split quaternion numbers and expressions of power series in dual split quaternions and provides differential operators in dual split quaternions and a dual split regular function on Ω⊂ℂ2×ℂ2 that has a dual split Cauchy-Riemann system in dual split quaternions.http://dx.doi.org/10.1155/2014/369430 |
| spellingShingle | Ji Eun Kim Kwang Ho Shon The Regularity of Functions on Dual Split Quaternions in Clifford Analysis Abstract and Applied Analysis |
| title | The Regularity of Functions on Dual Split Quaternions in Clifford Analysis |
| title_full | The Regularity of Functions on Dual Split Quaternions in Clifford Analysis |
| title_fullStr | The Regularity of Functions on Dual Split Quaternions in Clifford Analysis |
| title_full_unstemmed | The Regularity of Functions on Dual Split Quaternions in Clifford Analysis |
| title_short | The Regularity of Functions on Dual Split Quaternions in Clifford Analysis |
| title_sort | regularity of functions on dual split quaternions in clifford analysis |
| url | http://dx.doi.org/10.1155/2014/369430 |
| work_keys_str_mv | AT jieunkim theregularityoffunctionsondualsplitquaternionsincliffordanalysis AT kwanghoshon theregularityoffunctionsondualsplitquaternionsincliffordanalysis AT jieunkim regularityoffunctionsondualsplitquaternionsincliffordanalysis AT kwanghoshon regularityoffunctionsondualsplitquaternionsincliffordanalysis |