Quaternionic G–Monogenic Mappings in Em
Zhytomyr State University Library
Переглянути архів Інформація| Поле | Співвідношення | |
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http://eprints.zu.edu.ua/28514/
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| Title |
Quaternionic G–Monogenic Mappings in Em
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| Creator |
Shpakivskyi, V. S.
Kuzmenko, T. S. |
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| Subject |
Mathematical Analysis
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| Description |
We consider a class of so-called quaternionic G-monogenic mappings associated with m-dimensional (m 2 f2; 3; 4g) partial differential equations and propose a description of all mappings from this class by using four analytic functions of complex variable. For G-monogenic mappings we generalize some analogues of classical integral theorems of the holomorphic function theory of the complex variable (the surface and the curvilinear Cauchy integral theorems, the Cauchy integral formula, the Morera theorem), and Taylor’s and Laurent’s expansions. Moreover, we investigated the relation between G-monogenic and H-monogenic (differentiable in the sense of Hausdorff) quaternionic mappings. |
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| Publisher |
SciPress Ltd., Switzerland
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| Date |
2018
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| Type |
Article
PeerReviewed |
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| Format |
text
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| Language |
en
english |
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| Identifier |
http://eprints.zu.edu.ua/28514/1/IJARM.12.1.pdf
Shpakivskyi, V. S. and Kuzmenko, T. S. (2018) Quaternionic G–Monogenic Mappings in Em. International Journal of Advanced Research in Mathematics, 12. pp. 1-34. ISSN 2297-6213 |
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