3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.CV2023
Representation of Quaternionic -hyperholomorphic Functions
Tetiana Kuzmenko, Vitalii Shpakivskyi
In the algebra of complex quaternions we consider for the first time left- and right--hyperholomorphic functions. We justify the transition in left- and right-$ψ…
math.CV2014★ 3 cited
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…
math.CV2014★ 1 cited
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…