DIFFERENTIABILITY PROPERTIES OF FUNCTIONS OF GENERALIZED QUATERNIONIC VARIABLES

Abstract

This paper gives general base iα and j_β, which are similar with two bases i and j in quaternions. From properties of iα and j_β, we present an expression of a generalized quaternion. Based on the analytic properties of real and complex analysis, we propose a regularity which is related to a differentiability of functions of generalized quaternionic variables.