Constructive description of monogenic functions in a finite-dimensional semisimple commutative algebra

DOI10.15407/DOPOVIDI2014.01.014zbMath1313.30163OpenAlexW2512600470MaRDI QIDQ2877102

Sergiy A. Plaksa, Roman Pukhtaievych

Publication date: 21 August 2014

Published in: Reports of the National Academy of Sciences of Ukraine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15407/dopovidi2014.01.014

zbMATH Keywords

monogenic functionGateaux derivativesemisimple commutative algebra

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Vector-valued set functions, measures and integrals (28B05)

Related Items (4)

Commutative complex algebras of the second rank with unity and some cases of plane orthotropy. I ⋮ Bases in commutative algebras of the second rank and monogenic functions related to some cases of plane orthotropy ⋮ Monogenic functions with values in commutative complex algebras of the second rank with unit and a generalized biharmonic equation with simple nonzero characteristics ⋮ Monogenic functions with values in commutative algebras of the second rank with unit and the generalized biharmonic equation with double characteristic

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