Let the function f (z) = u(r, ) + iv(r, ) be analytic in a domain D
Question:
r2urr (r, θ) + rur (r, θ) + uθθ (r, θ) = 0,
which is the polar form of Laplace's equation. Show that the same is true of the function v(r, θ).
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The CauchyRiemann equation in polar coordinates are ru r v and u rv r Now ru r ...View the full answer
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Related Book For
Complex Variables and Applications
ISBN: 978-0073051949
8th edition
Authors: James Brown, Ruel Churchill
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