σ-monogenic functions in commutative algebras

σ-monogenic functions in commutative algebras

In finite-dimensional commutative associative algebra, the concept of σ-monogenic function is introduced. Necessary and sufficient conditions for σ-monogeneity have been established. In some low-dimensional algebras, with a special choice of σ, the representation of σ-monogenic functions is obtained...

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Bibliographic Details
Main Author: Vitalii Shpakivskyi
Format: Article
Language:English
Published: Odesa National University of Technology 2023-05-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
commutative associative algebra
monogenic function
$\sigma$-monogenic function
constructive description of $\sigma$-monogenic function
generalization of pseudoanalytic functions
generalization of $(p,q)$-analytic functions
Online Access:https://journals.ontu.edu.ua/index.php/geometry/article/view/2421

Internet

https://journals.ontu.edu.ua/index.php/geometry/article/view/2421

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