The complex-valued exponential function; portmanteau of "complex exponential"; denoted exp(z) = e^z = e^(a
Extends the exponential function, e^x, or exp(x), to the complex plane.
The complexponential is defined by its power series, e^z := Σ(k=0 to ∞) (z^k)/k!
In calculus, differential equations, and complex analysis, derived from the power series for cos(x) and sin(x), Euler's formula shows us that e^(i*x) = cos(x) + i*sin(x)
e^iπ = -1