Physics · Complex Analysis
For a complex function f(z) = u(x, y) + iv(x, y) to be analytic in a domain D, what are the necessary Cauchy-Riemann equations?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1∂u∂x = -∂v∂y and ∂u∂y = ∂v∂x
- 2∂u∂x = ∂v∂y and ∂u∂y = -∂v∂x✓
- 3∂u∂x = -∂v∂y and ∂u∂y = -∂v∂x
- 4∂u∂x = ∂v∂y and ∂u∂y = ∂v∂x
Correct answer
∂u∂x = ∂v∂y and ∂u∂y = -∂v∂x
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