Monogenic functions in commutative algebras associated with classical equations of mathematical physics

• Published in: Український математичний вісник
• Date: 2018
• Main Author: Plaksa, S.A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169423
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Monogenic functions in commutative algebras associated with classical equations of mathematical physics / S.A. Plaksa // Український математичний вісник. — 2018. — Т. 15, № 4. — С. 543-575. — Бібліогр.: 101 назв. — англ.

The methods involving the functions analytic in a complex plane for plane potential fields inspire the search for the analogous efficient methods for solving the spatial and multidimensional problems of mathematical physics. Many such methods are based on the mappings of hypercomplex algebras. The e...