Add to ORKGWe proved a theorem about the integral of quaternionic-differentiable functions of spatial variable over the closed surface. It is an analog of the Cauchy theorem from complex analysis
In this paper we introduce new notions of starlikeness for a class of functions of a hypercomplex va...
The aim of this paper is to introduce the $H^\infty$-functional calculus for harmonic functions over...
We are studying hyperbolic function theory in the skew-field of quaternions. This theory is connecte...
We proved a theorem about the integral of quaternionic-differentiable functions of spatial variable...
We proved a theorem about integral of quaternionic-differentiable functions of spatial variable ove...
AbstractWe investigate differentiability of functions defined on regions of the real quaternion fiel...
Several sets of quaternionic functions are described and studied with respect to hyperholomorphy, ad...
We consider a class of so-called quaternionic G-monogenic mappings associated with m-dimensional (m ...
We consider the concept of the Hausdorff analyticity for functions ranged in real algebras and the ...
In this paper we study the additive splitting associated to the quaternionic Cauchy transform define...
A classical theorem of Herglotz states that a function n↦r(n) from Z into Cs×s is positive definite ...
We established in sufficient conditions for existence of the integralF[f] ona regular surface and pr...
Abstract: The derivation and integration of hipercomplex functions have been investigated along the ...
Complex holomorphic functions are defined using a complex derivative. In higher dimensions the meani...
The theory of regular quaternionic functions of a reduced quaternionic variable is a 3-dimensional g...
In this paper we introduce new notions of starlikeness for a class of functions of a hypercomplex va...
The aim of this paper is to introduce the $H^\infty$-functional calculus for harmonic functions over...
We are studying hyperbolic function theory in the skew-field of quaternions. This theory is connecte...
We proved a theorem about the integral of quaternionic-differentiable functions of spatial variable...
We proved a theorem about integral of quaternionic-differentiable functions of spatial variable ove...
AbstractWe investigate differentiability of functions defined on regions of the real quaternion fiel...
Several sets of quaternionic functions are described and studied with respect to hyperholomorphy, ad...
We consider a class of so-called quaternionic G-monogenic mappings associated with m-dimensional (m ...
We consider the concept of the Hausdorff analyticity for functions ranged in real algebras and the ...
In this paper we study the additive splitting associated to the quaternionic Cauchy transform define...
A classical theorem of Herglotz states that a function n↦r(n) from Z into Cs×s is positive definite ...
We established in sufficient conditions for existence of the integralF[f] ona regular surface and pr...
Abstract: The derivation and integration of hipercomplex functions have been investigated along the ...
Complex holomorphic functions are defined using a complex derivative. In higher dimensions the meani...
The theory of regular quaternionic functions of a reduced quaternionic variable is a 3-dimensional g...
In this paper we introduce new notions of starlikeness for a class of functions of a hypercomplex va...
The aim of this paper is to introduce the $H^\infty$-functional calculus for harmonic functions over...
We are studying hyperbolic function theory in the skew-field of quaternions. This theory is connecte...