Alesker studied a relation between the determinant of a quaternionic Hessian of a function and a specific complex volume form. In this note we show that similar relation holds for functions of several split-quaternionic variables and point to some relations with geometry
It is well known that the dynamics and conjugacy class of a complex Möbius transformation can be det...
Quaternionic Clifford analysis is a recent new branch of Clifford analysis, a higher dimensional fun...
In this paper, we introduce split Jacobsthal and split Jacobsthal-Lucas quaternions. We obtain gener...
The theory of mathematical analysis over split quaternions is formulated in a closest possible analo...
AbstractWe extend our previous study of quaternionic analysis based on representation theory to the ...
We first review realizations of Herglotz functions in the unit ball of CN and provide new insights. ...
In this paper we introduce a one-parameter generalization of the split Jacobsthal quaternions, namel...
AbstractIn this paper we develop the fundamental elements and results of a new theory of regular fun...
The theory of regular quaternionic functions of a reduced quaternionic variable is a 3-dimensional g...
Notions of a “holomorphic ” function theory for functions of a split-quaternionic variable have been...
AbstractWe investigate differentiability of functions defined on regions of the real quaternion fiel...
In this thesis, we study Quaternionic Analysis, which is the most natural and close generalization o...
It is well known that the dynamics and conjugacy class of a complex Möbius transformation can be det...
Yüksek Lisans TeziBu tezde, split kuaterniyon matris denklemleri ele alınmıştır. Tez; altı bölümden ...
The purpose of this paper is to develop a new theory of three non-commuting quaternionic variables a...
It is well known that the dynamics and conjugacy class of a complex Möbius transformation can be det...
Quaternionic Clifford analysis is a recent new branch of Clifford analysis, a higher dimensional fun...
In this paper, we introduce split Jacobsthal and split Jacobsthal-Lucas quaternions. We obtain gener...
The theory of mathematical analysis over split quaternions is formulated in a closest possible analo...
AbstractWe extend our previous study of quaternionic analysis based on representation theory to the ...
We first review realizations of Herglotz functions in the unit ball of CN and provide new insights. ...
In this paper we introduce a one-parameter generalization of the split Jacobsthal quaternions, namel...
AbstractIn this paper we develop the fundamental elements and results of a new theory of regular fun...
The theory of regular quaternionic functions of a reduced quaternionic variable is a 3-dimensional g...
Notions of a “holomorphic ” function theory for functions of a split-quaternionic variable have been...
AbstractWe investigate differentiability of functions defined on regions of the real quaternion fiel...
In this thesis, we study Quaternionic Analysis, which is the most natural and close generalization o...
It is well known that the dynamics and conjugacy class of a complex Möbius transformation can be det...
Yüksek Lisans TeziBu tezde, split kuaterniyon matris denklemleri ele alınmıştır. Tez; altı bölümden ...
The purpose of this paper is to develop a new theory of three non-commuting quaternionic variables a...
It is well known that the dynamics and conjugacy class of a complex Möbius transformation can be det...
Quaternionic Clifford analysis is a recent new branch of Clifford analysis, a higher dimensional fun...
In this paper, we introduce split Jacobsthal and split Jacobsthal-Lucas quaternions. We obtain gener...
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