Math Help - complex trigonometric functions

1. complex trigonometric functions

determine the inverse of the function

w = z*exp^z + exp^(2*z)

thanks

2. Originally Posted by flaming

determine the inverse of the function

w = z*exp^z + exp^(2*z)

thanks
Consider:

The inverse of the function $w = z\, e^z$ requires using a special function called the Lambert W-function: $w^{-1}(z) = W(z)$.

What you want is even more complicated .....

Why do you want the inverse, anyway? Note: If you have to find the derivative of the inverse function for a particular value of z, this can be done without using an explicit rule for the inverse ......

3. Maybe this function does not even have an inverse? Does it?