3 citations · 9 across the 5 of their papers we have counts for
5 papers
On monogenic mappings of the quaternionic variables
V. S. Shpakivskyi, T. S. Kuzmenko
In the paper [1] we consider a new class, so-called, -monogenic (differentiable in the sense of Gateaux) quaternionic mappings. In the present paper we introduce quaternionic $H…
Curvilinear integral theorem for -monogenic mappings in the algebra of complex quaternion
T. S. Kuzmenko
For -monogenic mappings taking values in the algebra of complex quaternion we prove a curvilinear analogue of the Cauchy integral theorem in the case where a curve of integratio…
Power and Laurent series in the algebra of complex quaternions
T. S. Kuzmenko
Taylor's and Laurent's expansions of -monogenic mappings taking values in the algebra of complex quaternion are obtained and singularities of these mappings are classified.
Integral theorems for the quaternionic G-monogenic mappings
V. S. Shpakivskyi, T. S. Kuzmenko
In the paper [1] considered a new class of quaternionic mappings, so-called -monogenic mappings. In this paper we prove analogues of classical integral theorems of the holomorph…
On one class of quaternionic mappings
V. S. Shpakivskyi, T. S. Kuzmenko
We consider a new class of quaternionic mappings, associated with the spatial partial differential equations. We describe all mappings from this class using four analytic functions…