scholarly journals HYPERMEROMORPHY OF FUNCTIONS ON SPLIT QUATERNIONS IN CLIFFORD ANALYSIS

2015 ◽  
Vol 31 (5) ◽  
pp. 653-658
Author(s):  
JI EUN KIM ◽  
KWANG HO SHON
Keyword(s):  
Clifford Analysis ◽  
Split Quaternions

scholarly journals Inverse mapping theory on split quaternions in Clifford analysis

Filomat ◽  
2016 ◽  
Vol 30 (7) ◽  
pp. 1883-1890 ◽  
Author(s):  
Ji Kim ◽  
Kwang Shon
Keyword(s):  
Clifford Analysis ◽  
Regular Function ◽  
Inverse Mapping ◽  
Split Quaternions ◽  
Cauchy Riemann ◽  
Mapping Theory

We give a split regular function that has a split Cauchy-Riemann system in split quaternions and research properties of split regular mappings with values in S. Also, we investigate properties of an inverse mapping theory with values in split quaternions.

scholarly journals The Regularity of Functions on Dual Split Quaternions in Clifford Analysis

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Ji Eun Kim ◽  
Kwang Ho Shon
Keyword(s):  
Power Series ◽  
Clifford Analysis ◽  
Differential Operators ◽  
Regular Function ◽  
Split Quaternion ◽  
Split Quaternions ◽  
Cauchy Riemann ◽  
Dual Split Quaternion

This paper shows some properties of dual split quaternion numbers and expressions of power series in dual split quaternions and provides differential operators in dual split quaternions and a dual split regular function onΩ⊂ℂ2×ℂ2that has a dual split Cauchy-Riemann system in dual split quaternions.

Regular functions on dual split quaternions in Clifford analysis

Filomat ◽  
2017 ◽  
Vol 31 (1) ◽  
pp. 17-27
Author(s):  
Ji Kim ◽  
Kwang Shon
Keyword(s):  
Power Series ◽  
Clifford Analysis ◽  
Differential Operators ◽  
Split Quaternions ◽  
Regular Functions ◽  
Cauchy Riemann

This paper shows expressions of a power series for the form of dual split quaternions and provides differential operators in dual split quaternions. The paper also represents a power series of dual split regular functions by using a dual split Cauchy-Riemann system in dual split quaternions.

scholarly journals Numerical Clifford analysis for nonlinear Schrödinger problem

2008 ◽  
Vol 24 (4) ◽  
pp. 1181-1202 ◽  
Author(s):  
P. Cerejeiras ◽  
N. Faustino ◽  
N. Vieira
Keyword(s):  
Clifford Analysis ◽  
Nonlinear Schrödinger

The Hermitian Clifford Analysis Toolbox

2008 ◽  
Vol 18 (3-4) ◽  
pp. 451-487 ◽  
Author(s):  
Fred Brackx ◽  
Hennie De Schepper ◽  
Frank Sommen
Keyword(s):  
Clifford Analysis ◽  
Hermitian Clifford Analysis
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