Quaternionic Functions and their Applications in Mechanics of Continua.

Autor: Grigor'ev, Yuri M.
Předmět:
Zdroj: AIP Conference Proceedings; 2018, Vol. 2041 Issue 1, p050017-1-050017-8, 8p
Abstrakt: Holomorphic functions are the key tool for solutions of two dimensional problems in mathematical and theoretical physics, mechanics of continua. For the three-dimensional problems the hypercomplex analysis is an analogical one, i.e. monogenic Clifford functions or regular quaternionic functions playing the role of a three-dimensional analogue of holomorphic functions. In this paper a survey of investigations in the quaternionic analysis have been made in the North-Eastern federal university (Yakutsk state university) from the 1980s is presented. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index