We develop a hypercomplex method of solving of boundary value problems for biharmonic
functions. This method is based on a relation between biharmonic functions and monogenic …

We consider a commutative algebra 𝔹 over the field of complex numbers with a basis {e 1, e
2} satisfying the conditions (e 1 2+ e 2 2) 2= 0, e 1 2+ e 2 2≠ 0. Let D be a bounded simply …

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 …

Consider the commutative algebra $\mathbb {B} $ over the field of complex numbers with
the bases $\{e_1, e_2\} $ such that% satisfying the conditions $(e_1^ 2+ e_2^ 2)^ 2= 0 …

We consider Schwartz-type boundary value problems for monogenic functions in a
commutative algebra 𝔹 B over the field of complex numbers with the bases e 1, e 2 …

A commutative algebra B over the field of complex numbers with the bases {e 1, e 2}
satisfying the conditions (e 1 2+ e 2 2) 2= 0, e 1 2+ e 2 2) 2≠ 0, is considered. The algebra B …

A class of H-analytic (differentiable by Hausdorff) functions in a three-dimensional
noncommutative algebra e A~ 2 over the field ℂ is considered. All H-analytic functions are …

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 …

Abstract A commutative algebra BB over the complex field with a basis e 1, e 2 satisfying the
conditions e 1 2+ e 2 2 2= 0, e 1 2+ e 2 2≠ 0\left (e _1^ 2+ e _2^ 2\right)^ 2= 0, e _1^ 2+ e …

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 …