Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra

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Serhii Gryshchuk
http://orcid.org/0000-0001-8683-445X

Abstract

New representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra are found.

Keywords:
Lamé-type system of partial differential equations with real coefficients, Lamé system of equilibrium equations for displacements, biharmonic equation, biharmonic function, commutative and associative algebras, biharmonic algebra, monogenic functions

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How to Cite
Gryshchuk, S. (2023). Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra. Proceedings of the International Geometry Center, 16(1), 78-90. https://doi.org/10.15673/tmgc.v16i1.2400
Section
Papers
Author Biography

Serhii Gryshchuk, Institute of Mathematics of the National Academy of Science of Ukraine

Institute of Mathematics of the National Academy of Science of Ukraine