Monogenic functions with values in commutative complex algebras of the second rank with unity and the generalized biharmonic equation with double characteristics
UDC 517.9We prove that any two-dimensional algebra $\mathbb{B}_{\ast}$ of the second rank with unity over the field of complex numbers $\mathbb{C}$ contains basises $\{e_1,e_2\},$ for which the $\mathbb{B}_{\ast}$-valued ``analytic'' functions $\Phi(xe_1+ye_2),$ where $x$ and $y$ a...
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| Date: | 2022 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2022
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/6948 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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