A corresponding Cullen-regularity for split-quaternionic-valued functions

作者：Kim Ji Eun

来源：Advances in Difference Equations, 2017, 2017(1): 80.

DOI：10.1186/s13662-017-1131-4

• split-quaternion
• Cullen's form
• regular function
• Cauchy-Riemann system
• Clifford analysis

We give a representation of the class of Cullen-regular functions in split-quaternions. We consider each Cullen's form of split-quaternions, which provides corresponding Cauchy-Riemann equations for split-quaternionic variables. Using Cullen's form, we research hyperholomorphy and the properties of functions of split-quaternionic variables which are expressed by hyperbolic coordinates.

• 出版日期2017-3-17