Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras
Zhytomyr State University Library
Переглянути архів Інформація| Поле | Співвідношення | |
| Relation |
http://eprints.zu.edu.ua/13298/
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| Title |
Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras |
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| Creator |
Pogoruі, А. А.
Rodríguez-Dagnіno, Ramón М. Shapіro, Мichael |
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| Subject |
Mathematical Analysis
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| Description |
It is well known that the real and imaginary parts of any holomorphic function are harmonic functions of two variables. In this paper, we extend this idea to finite-dimensional commutative algebras; that is, we prove that if some basis of a subspace of a commutative algebra satisfies a polynomial equation, then the components of a monogenic function on the subspace are solutions of the respective partial differential equation (PDE). We illustrate these concepts with a few examples. |
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| Publisher |
John Wiley & Sons
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| Date |
2013
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| Type |
Article
PeerReviewed |
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| Format |
text
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| Language |
uk
english |
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| Identifier |
http://eprints.zu.edu.ua/13298/1/2013-mma.Solution_PDE.pdf
Pogoruі, А. А. and Rodríguez-Dagnіno, Ramón М. and Shapіro, Мichael (2013) Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras. Math. Meth. Appl. Sci.. |
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