On Some Modifications of the Fueter Operator

Abstract

We present some classes of functions that are defined on the quaternions as solutions for a linear operator that resembles the Cauchy-Riemann conditions. Unlike the Fueter regular functions; in this case the identity function is a solution and solutions are closed under the quaternionic product.

Cited by in corpus (1)

• Cullen-regular quaternionic functions in a Fueter operator framework