The idea of an algebraic-analytic approach to equations of mathematical physics means to
find a commutative Banach algebra such that monogenic functions with values in this …

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 …

We establish integral theorems for monogenic functions taking values in an infinite-
dimensional commutative Banach algebra associated with spatial potential solenoid fields …

This paper extends approach developed in a recent author's paper on analytic models of
potential fields in inhomogeneous media. New three-dimensional analytic models of …

We obtain integral representations of generalized axially symmetric potentials via analytic
functions of a complex variable that are defined in an arbitrary simply connected bounded …

We consider axial-symmetric stationary flows of the ideal incompressible fluid as an
important case of potential solenoid vector fields. We establish relations between axial …

We develop a functionally-analytic method for effective solving of boundary problems in a
meridian plane of a spatial axial-symmetric potential field. This method is based on integral …

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 …

We consider a generalized Cauchy–Riemann system with a rectilinear singular interval of
the real axis. Schwarz boundary value problems for generalized analytic functions which …

This paper extends approach of our recent paper together with Kähler to building special
classes of exact solutions of the static Maxwell system in inhomogeneous isotropic media by …