Sigma-Monogenic Functions in Commutative Algebras

Explore the concept of sigma-monogenic functions in commutative algebras in this 25-minute conference talk by Vitalii Shpakivskyi at the HyperComplex Seminar. Delve into the representation of harmonic mappings by monogenic functions, drawing from Mel'nichenko's work in 1975. Examine the applications of pseudoanalytic function theory as presented by Kravchenko in 2008. Investigate the latest developments in σ-monogenic functions within commutative algebras, referencing Shpakivskyi's 2023 publication in the Proceedings of the International Geometry Center.

Vitalii Shpakivskyi, Sigma-monogenic functions in commutative algebras