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Complex affine transformation in plane s w = az+β, where:= x+iy, w = x, + iy'. For complex numbers α = αι + ia2, β = β1 + 2β2 rewrite this transformation as affine transformation in plane bet...
(Complex Analysis) The linear mapping wFUz+p, where α, β e C maps the point ZFI+1 to the point wi-i, and the poin to the point w2-1i a) Determine α and β. b) Find the region in the w-plane corresponding to the upper half-plane Im(z) 20 in 9. the z-plane. Sketch the region in the w-plane. c) Find the region in the w-plane corresponding to the disk Iz 2 in the z-plane d) Find the fixed points of the mapping The...
transformation. Perform the mappings of lines x- 2 and y 3 under the transformation w = z2 where z = x + iy. Compute the angles between the curves in the u-v plane at the points of intersection. Hence check if the angles between the lines in the z-plane are the same as the angles between the curves in the u-v plane transformation. Perform the mappings of lines x- 2 and y 3 under the transformation w = z2 where...