PDA

View Full Version : Derivative of z^a


Diophantus
Feb20-06, 12:33 PM
Just a quicky:

I've been trying to derive some expressions for derivatives of a complex functions of a complex variable using the traditional limit definition.

I've become stuck when trying to differentiate z^a wrt complex z and where a is a complex constant. I know the way to define z^a using exponentials and logs but It becomes a bit iffy when I look for the derivative.