We define a new hypercomplex structure of and a regular function with values in that structure. From the properties of regular functions, we research the exponential function on the reduced quaternion field and represent the corresponding Cauchy-Riemann equations in hypercomplex structures of .
"Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/654798