Add to ORKGSeveral sets of quaternionic functions are described and studied with respect to hyperholomorphy, addition and (non commutative) multiplication, on open sets of $\mathbb H$. The aim is to get a local function theory
The theory of slice regular functions of a quaternionic variable extends the notion of holomorphic f...
Quaternionic analysis is regarded as a broadly accepted branch of classical analysis referring to ma...
Complex holomorphic functions are defined using a complex derivative. In higher dimensions the meani...
Several sets of quaternionic functions are described and studied with respect to hy-perholomorphy, a...
Several sets of quaternionic functions are described and studied. Residue current of the right inver...
We proved a theorem about integral of quaternionic-differentiable functions of spatial variable ove...
In the algebra of complex quaternions $\mathbb{H(C)}$ we consider for the first time left- and right...
In this thesis, we study Quaternionic Analysis, which is the most natural and close generalization o...
AbstractIn this paper we develop the fundamental elements and results of a new theory of regular fun...
In this paper we introduce a new algebraic device, which enables us to treat the quaternions as thou...
We consider the concept of the Hausdorff analyticity for functions ranged in real algebras and the ...
AbstractWe investigate differentiability of functions defined on regions of the real quaternion fiel...
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 consider a class of so-called quaternionic G-monogenic mappings associated with m-dimensional (m ...
The theory of slice regular functions of a quaternionic variable extends the notion of holomorphic f...
Quaternionic analysis is regarded as a broadly accepted branch of classical analysis referring to ma...
Complex holomorphic functions are defined using a complex derivative. In higher dimensions the meani...
Several sets of quaternionic functions are described and studied with respect to hy-perholomorphy, a...
Several sets of quaternionic functions are described and studied. Residue current of the right inver...
We proved a theorem about integral of quaternionic-differentiable functions of spatial variable ove...
In the algebra of complex quaternions $\mathbb{H(C)}$ we consider for the first time left- and right...
In this thesis, we study Quaternionic Analysis, which is the most natural and close generalization o...
AbstractIn this paper we develop the fundamental elements and results of a new theory of regular fun...
In this paper we introduce a new algebraic device, which enables us to treat the quaternions as thou...
We consider the concept of the Hausdorff analyticity for functions ranged in real algebras and the ...
AbstractWe investigate differentiability of functions defined on regions of the real quaternion fiel...
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 consider a class of so-called quaternionic G-monogenic mappings associated with m-dimensional (m ...
The theory of slice regular functions of a quaternionic variable extends the notion of holomorphic f...
Quaternionic analysis is regarded as a broadly accepted branch of classical analysis referring to ma...
Complex holomorphic functions are defined using a complex derivative. In higher dimensions the meani...