Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis
We define a new hypercomplex structure of ℝ3 and a regular function with values in that structure. From the properties of regular functions, we research the exponential function on the reduced quaternion field and represent the corresponding Cauchy-Riemann equations in hypercomplex structures of ℝ3....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/654798 |
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| _version_ | 1832565166808498176 |
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| author | Ji Eun Kim Su Jin Lim Kwang Ho Shon |
| author_facet | Ji Eun Kim Su Jin Lim Kwang Ho Shon |
| author_sort | Ji Eun Kim |
| collection | DOAJ |
| description | We define a new hypercomplex structure of ℝ3 and a regular function with values in that structure. From the properties of regular functions, we research the exponential function on the reduced quaternion field and represent the corresponding Cauchy-Riemann equations in hypercomplex structures of ℝ3. |
| format | Article |
| id | doaj-art-5f6b01b8527142ea8e1b48cd7e0a5b77 |
| 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-5f6b01b8527142ea8e1b48cd7e0a5b772025-02-03T01:09:07ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/654798654798Regularity of Functions on the Reduced Quaternion Field in Clifford AnalysisJi Eun Kim0Su Jin Lim1Kwang Ho Shon2Department of Mathematics, Pusan National University, Busan 609-735, Republic of KoreaDepartment of Mathematics, Pusan National University, Busan 609-735, Republic of KoreaDepartment of Mathematics, Pusan National University, Busan 609-735, Republic of KoreaWe define a new hypercomplex structure of ℝ3 and a regular function with values in that structure. From the properties of regular functions, we research the exponential function on the reduced quaternion field and represent the corresponding Cauchy-Riemann equations in hypercomplex structures of ℝ3.http://dx.doi.org/10.1155/2014/654798 |
| spellingShingle | Ji Eun Kim Su Jin Lim Kwang Ho Shon Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis Abstract and Applied Analysis |
| title | Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis |
| title_full | Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis |
| title_fullStr | Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis |
| title_full_unstemmed | Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis |
| title_short | Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis |
| title_sort | regularity of functions on the reduced quaternion field in clifford analysis |
| url | http://dx.doi.org/10.1155/2014/654798 |
| work_keys_str_mv | AT jieunkim regularityoffunctionsonthereducedquaternionfieldincliffordanalysis AT sujinlim regularityoffunctionsonthereducedquaternionfieldincliffordanalysis AT kwanghoshon regularityoffunctionsonthereducedquaternionfieldincliffordanalysis |