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.
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