The aim of this work is to construct a three-dimensional quaternionic generalization of the
Kolosov–Muskhelishvili formulae. The theory of Moisil–Theodoresco system in terms of …

In this note we consider certain jump problem for poly-monogenic functions in fractal
domains with higher order Lipschitz boundary data. This is accomplished by using a higher …

We use a high-dimensional version of the Marcinkiewicz exponent, a metric characteristic for
non-rectifiable plane curves, to present a direct application to the solution of some kind of …

In the plane elasticity an effective method of using the holomorphic complex function theory
is based on Kolosov–Muskhelishvili formulae. For a three-dimensional case monogenic …

In this paper we consider a kind of Riemann boundary value problem (for short RBVP) for
null solutions to the iterated generalized Cauchy–Riemann operator and the polynomially …

Abstract We consider Riemann–Hilbert boundary value problems (for short RHBVPs) with
variable coefficients for axially symmetric poly-monogenic functions, ie, null-solutions to …

We use a high-dimensional version of the Marcinkiewicz exponent, a metric characteristic for
non-rectifiable plane curves, to present a direct application to the solution of some kind of …

In this paper we consider the Riemann boundary value problem for null solutions to the
iterated Dirac operator over the ball in Clifford analysis with boundary data given in\mathbb …

We investigate some properties of solutions to Dirac operators with gradient potentials.
Solutions to Dirac operators with gradient potentials are called monogenic functions with …

In this paper, we discuss some properties of the Cauchy type integral operator defined over
the half space of. As applications, we study a type of Riemann boundary value problem for …