Question

The transformation w=cz consists of ​

Answer 1

Answer:

Then transformation w = cz becomes Reiφ = ρeiα · reiθ = ρrei(α+θ). Thus, the transformation maps a point P(r, θ) in the z-plane into a point P (ρr, θ + α) in the w-plane. Hence, the transformations consists of magnification of the radius vector of P by ρ = |c| and its rotation through the angle α.