Regularity of functions on the reduced quaternion field in Clifford analysis
Summary: We define a new hypercomplex structure of \(\mathbb{R}^3\) 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 \(\mathbb{R}^3\).
scientific article; zbMATH DE number 7022834
scientific article