We obtain a constructive description of monogenic functions taking values in a finite-
dimensional semi-simple commutative algebra by means of holomorphic functions of the …

We consider monogenic functions given in a biharmonic plane and taking values in a
commutative algebra associated with the biharmonic equation. For the mentioned functions …

We obtain a constructive description of monogenic functions taking values in a finite-
dimensional commutative algebra with unit and radical of maximal dimensionality by means …

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 two-dimensional commutative algebra B over the field of complex numbers.
The algebra B is associated with the biharmonic equation. For monogenic functions with …

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 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 …

This chapter discusses the concepts of differentiable function Φ: Ω→ 𝔸 taking values in a
vector space 𝔸 in which a commutative multiplication is defined for most of its elements, and …

An algebraic-analytic approach to elliptic equations of mathematical physics is developed at
the Department of Complex Analysis and Potential Theory of the Institute of Mathematics of …