On a Generalization of Fueter’s Theorem

Abstract

In this paper we discuss a generalization of Fueter’s theorem which states that whenever f(x_0, x) is holomorphic in x_0+x , then it satisfies D?f = 0, D= \partial_{x_0} + i \partial_{x_1}+ j \partial_{x_2} + k \partial_{x_3} being the Fueter operator.