3 citations · 3 across the 1 of their papers we have counts for
3 papers
math.CV2016
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…
math.CV2016
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…
math.CV2015★ 3 cited
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.