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math.CV2016★ 2 cited
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…