Generalized integral theorems for quaternionic G-monogenic mappings
For G -monogenic mappings taking values in the algebra of complex quaternions, we generalize some analogues of classical integral theorems of the holomorphic function theory of complex variable (the surface and curvilinear Cauchy integral theorems).
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| Published in: | Journal of mathematical sciences (New York, N.Y.) Vol. 224; no. 4; pp. 530 - 540 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Springer US
01.07.2017
Springer Nature B.V |
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| ISSN: | 1072-3374, 1573-8795 |
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| Abstract | For
G
-monogenic mappings taking values in the algebra of complex quaternions, we generalize some analogues of classical integral theorems of the holomorphic function theory of complex variable (the surface and curvilinear Cauchy integral theorems). |
|---|---|
| AbstractList | For G-monogenic mappings taking values in the algebra of complex quaternions, we generalize some analogues of classical integral theorems of the holomorphic function theory of complex variable (the surface and curvilinear Cauchy integral theorems). For G -monogenic mappings taking values in the algebra of complex quaternions, we generalize some analogues of classical integral theorems of the holomorphic function theory of complex variable (the surface and curvilinear Cauchy integral theorems). |
| Author | Kuzmenko, Tetyana S. Shpakivskyi, Vitalii S. |
| Author_xml | – sequence: 1 givenname: Tetyana S. surname: Kuzmenko fullname: Kuzmenko, Tetyana S. email: kuzmenko.ts15@gmail.com organization: Institute of Mathematics of the NAS of Ukraine – sequence: 2 givenname: Vitalii S. surname: Shpakivskyi fullname: Shpakivskyi, Vitalii S. organization: Institute of Mathematics of the NAS of Ukraine |
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| Cites_doi | 10.18052/www.scipress.com/IJARM.6.21 10.1007/s11253-016-1213-6 10.1090/S0002-9947-1955-0069405-2 10.1007/s11253-011-0521-0 10.1007/s10958-017-3260-4 |
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| Keywords | Cauchy integral theorems Algebra of complex quaternions monogenic mappings |
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| References | Shpakivskyi, Kuzmenko (CR6) 2016; 68 Shpakivskyi, Kuzmenko (CR1) 2016; 24 Herus (CR4) 2011; 63 Shpakivskyi, Kuzmenko (CR3) 2017; 221 Privalov (CR7) 1977 CR9 Blum (CR8) 1955; 78 Kuzmenko (CR2) 2016; 6 Kravchenko, Shapiro (CR5) 1996 VS Shpakivskyi (3433_CR6) 2016; 68 VS Shpakivskyi (3433_CR3) 2017; 221 II Privalov (3433_CR7) 1977 VS Shpakivskyi (3433_CR1) 2016; 24 TS Kuzmenko (3433_CR2) 2016; 6 EK Blum (3433_CR8) 1955; 78 OF Herus (3433_CR4) 2011; 63 VV Kravchenko (3433_CR5) 1996 3433_CR9 |
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G
-monogenic mappings taking values in the algebra of complex quaternions, we generalize some analogues of classical integral theorems of the holomorphic... For G-monogenic mappings taking values in the algebra of complex quaternions, we generalize some analogues of classical integral theorems of the holomorphic... |
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| SubjectTerms | Algebra Mathematical analysis Mathematics Mathematics and Statistics Quaternions Theorems |
| Title | Generalized integral theorems for quaternionic G-monogenic mappings |
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