Cauchy-Riemann

What is the image of the following curves under w = z2? Write Logz = u(r, θ) + iv(r, θ), where z = reiθ. Find the functions u(r, θ) and v(r, θ).

Complex Analysis Questions: This exam contains 8 pages (including this cover page) and 5 questions. Total of points is 50. (a) (4 points) What is the image of the following curves under w = z2? (I) y = 1 (II) y = x + 1 (b) (5 points) Find the equation of the fractional linear […]

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