Physics · Complex Analysis
If a function f(z) = u + iv is analytic, then the polar form of the Cauchy-Riemann equations is represented by which of the following?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1∂u∂r = -r ∂v∂θ and ∂u∂θ = 1r ∂v∂r
- 2∂u∂r = -1r ∂v∂θ and ∂u∂θ = r ∂v∂r
- 3∂u∂r = 1r ∂v∂θ and ∂u∂θ = 1r ∂v∂r
- 4∂u∂r = 1r ∂v∂θ and ∂u∂θ = -r ∂v∂r✓
Correct answer
∂u∂r = 1r ∂v∂θ and ∂u∂θ = -r ∂v∂r
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