Monogenic functions with values in commutative algebras of the second rank with unit and the generalized biharmonic equation with double characteristic

DOI10.1007/S11253-022-02045-XzbMath1502.35053OpenAlexW4297235825MaRDI QIDQ2081445

Serhii V. Gryshchuk

Publication date: 13 October 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-022-02045-x

zbMATH Keywords

generalized biharmonic equationassociative commutative algebra

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Higher-order elliptic equations (35J30)

Related Items (1)

Monogenic functions with values in algebras of the second rank over the complex field and a generalized biharmonic equation with a triple characteristic

Cites Work

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• Biharmonic bases in algebras of the second rank
• Hyperholomorphic functions and higher order partial differential equations in the plane
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• Commutative complex algebras of the second rank with unity and some cases of plane orthotropy. I
• On the dimension of the kernel of the Dirichlet problem for fourth-order equations
• Constructive description of monogenic functions in a finite-dimensional semisimple commutative algebra
• Monogenic functions in a biharmonic algebra
• Monogenic functions in finite-dimensional commutative associative algebras
• Solution of Partial Differential Equations by Means of Hypervariables

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