Complex Functions
Complex Functions
It is easy enough to make any given function complex by fixing the domain to some complex region and "seeing what happens". Let us break this down even further:
Let be a complex number of the form:
, where
We can view as the real component and as the imaginary component of the complex number .
Let u,v take values for x,y and return another real value such that:
where f can then be written with the form:
Now we have a general equation for Complex Functions and can start talking about differentiation of .