Title | Constructive description of monogenic functions in a finite-dimensional semisimple commutative algebra |
Publication Type | Journal Article |
Year of Publication | 2014 |
Authors | Plaksa, SA, Pukhtaievych, RP |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2014.01.014 |
Issue | 1 |
Section | Mathematics |
Pagination | 14-21 |
Date Published | 1/2014 |
Language | Ukrainian |
Abstract | 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. |
Keywords | commutative algebra, monogenic functions |
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