PROPERTIES OF REGULAR FUNCTIONS OF A QUATERNION VARIABLE MODIFIED WITH TRI-COMPLEX QUATERNION
2021 ◽
Vol 10
(5)
◽
pp. 2663-2673
Keyword(s):
In a quaternion structure composed of four real dimensions, we derive a form wherein three complex numbers are combined. Thereafter, we examined whether this form includes the algebraic properties of complex numbers and whether transformations were necessary for its application to the system. In addition, we defined a regular function in quaternions, expressed as a combination of complex numbers. Furthermore, we derived the Cauchy-Riemann equation to investigate the properties of the regular function in the quaternions coupled with the complex number.
2021 ◽
2019 ◽
Vol 33
◽
pp. 158-159
Keyword(s):
2021 ◽
2020 ◽
Vol 60
(10)
◽
pp. 1701-1707