ABSTRACT
The article presents a monogenic exponential function for the hypercomplex function theory of quaternion-valued monogenic functions in a reduced quaternionic variable, which has essential properties analogous to the complex exponential function ,
. In particular, it is shown that the Taylor series of the monogenic exponential function based on a complete orthogonal system of monogenic Appell polynomials also generalizes the corresponding complex series representation in a canonical manner.
Disclosure statement
No potential conflict of interest was reported by the author.
ORCID
Sebastian Bock http://orcid.org/0000-0002-0660-6156