The hypercomplex analysis in both commutative and noncommutative algebras has been
developing very intensively over last few decades. Its applications are developed to …

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 …

In [2], a method for the formal construction of solutions of the three-dimensional Laplace
equation is developed by using power series in any harmonic algebra over the field of …

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

u (x, y, z)= 0(1) in that sense that components of hypercomlex functions satisfy Eq.(1) but the
Hamilton's quaternions form a noncommutative algebra. C. Segre [1] constructed an algebra …

We develop new methods for solving boundary problems for spatial axial-symmetric
potential solenoid fields depending on the nature and specific features of axial-symmetric …

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 obtain new integral representations for an axisymmetric potential and the Stokes flow
function in an arbitrary simply-connected domain of the meridian plane. The boundary …

In this chapter, for monogenic functions given in special real subspaces of an arbitrary finite-
dimensional commutative associative algebra over the complex field and taking values in …

In this chapter, we deal with a spatial potential solenoidal vector field symmetric with respect
to the axis Ox with the Cartesian coordinates x, y, z. Such a field is described in a meridian …