Constructive description of monogenic functions in a finite-dimensional semisimple commutative algebra
DOI:
https://doi.org/10.15407/dopovidi2014.01.014Keywords:
commutative algebra, monogenic functionsAbstract
We obtain a constructive description of monogenic functions taking values in a finite-dimensional semisimple commutative algebra by means of analytic functions of the complex variable. We prove that the mentioned monogenic functions have the Gateaux derivatives of all orders.
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