We proved a theorem about integral of quaternionic-differentiable functions of spatial variable over the closed surface. It is an analog of the Cauchy theorem from complex analysis
We consider the Poincare model of a hyperbolic geometry in R3(ie., the metric is ds2 = dx 2+dy2+dt2 ...
4siIn this paper we survey a series of recent developments in the theory of functions of a hypercomp...
AbstractIn this paper we develop the fundamental elements and results of a new theory of regular fun...
We proved a theorem about integral of quaternionic-differentiable functions of spatial variable ove...
We proved a theorem about the integral of quaternionic-differentiable functions of spatial variable...
Several sets of quaternionic functions are described and studied with respect to hyperholomorphy, ad...
AbstractWe investigate differentiability of functions defined on regions of the real quaternion fiel...
Complex holomorphic functions are defined using a complex derivative. In higher dimensions the meani...
In the algebra of complex quaternions $\mathbb{H(C)}$ we consider for the first time left- and right...
Quaternionic analysis is regarded as a broadly accepted branch of classical analysis referring to ma...
We consider a class of so-called quaternionic G-monogenic mappings associated with m-dimensional (m ...
The theory of regular quaternionic functions of a reduced quaternionic variable is a 3-dimensional g...
Quaternionic analysis, it is usual to persist in pointing out to their distinguishedcharacteristics....
We are studying hyperbolic function theory in the total skew-field of quaternions. Earlier the theor...
A hypercomplex manifold is a manifold equipped with a triple of complex structures I, J, K satisfyin...
We consider the Poincare model of a hyperbolic geometry in R3(ie., the metric is ds2 = dx 2+dy2+dt2 ...
4siIn this paper we survey a series of recent developments in the theory of functions of a hypercomp...
AbstractIn this paper we develop the fundamental elements and results of a new theory of regular fun...
We proved a theorem about integral of quaternionic-differentiable functions of spatial variable ove...
We proved a theorem about the integral of quaternionic-differentiable functions of spatial variable...
Several sets of quaternionic functions are described and studied with respect to hyperholomorphy, ad...
AbstractWe investigate differentiability of functions defined on regions of the real quaternion fiel...
Complex holomorphic functions are defined using a complex derivative. In higher dimensions the meani...
In the algebra of complex quaternions $\mathbb{H(C)}$ we consider for the first time left- and right...
Quaternionic analysis is regarded as a broadly accepted branch of classical analysis referring to ma...
We consider a class of so-called quaternionic G-monogenic mappings associated with m-dimensional (m ...
The theory of regular quaternionic functions of a reduced quaternionic variable is a 3-dimensional g...
Quaternionic analysis, it is usual to persist in pointing out to their distinguishedcharacteristics....
We are studying hyperbolic function theory in the total skew-field of quaternions. Earlier the theor...
A hypercomplex manifold is a manifold equipped with a triple of complex structures I, J, K satisfyin...
We consider the Poincare model of a hyperbolic geometry in R3(ie., the metric is ds2 = dx 2+dy2+dt2 ...
4siIn this paper we survey a series of recent developments in the theory of functions of a hypercomp...
AbstractIn this paper we develop the fundamental elements and results of a new theory of regular fun...