As in [Entire slice regular functions, Springer, 2016] we define the ∗-exponential of a slice-regular function, which can be seen as a generalization of the complex exponential to quaternions.

Exponential and logarithmic functions are typically presented as formulas with which students learn to associate the rules for exponents/logarithms, a particular algebraic form, and routine algorithms ...

Ask ordinary software developers how to code an exponential function (that is, e x) and most will tell you to simply write an expression in their favorite high level language. But a significant slice ...