Mathematics · Complex Analysis
Which of the following conditions is sufficient for a function f(z) = u + iv to be analytic in a domain D?
- 1u and v are continuous in D and satisfy Cauchy-Riemann equations in D
- 2u and v satisfy Cauchy-Riemann equations in D
- 3u and v are differentiable in D
- 4u and v have continuous first partial derivatives in D and satisfy Cauchy-Riemann equations in D✓
Correct answer
u and v have continuous first partial derivatives in D and satisfy Cauchy-Riemann equations in D
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