Mathematics · Complex Analysis
Let f be a holomorphic function on the disc {z ∈ &mathbb;C : |z| < 2}. Assume that the only zero of f in the closed unit disc {z ∈ &mathbb;C : |z| ≤ 1} is a simple zero at the origin. Let γ be the positively oriented circle {z ∈ &mathbb;C : |z| = 1}. The integral ∫ γ dz f(z) equals:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 12πi / f''(0)
- 22πi / f'(0)✓
- 32πi f''(0)
- 42πi f'(0)
Correct answer
2πi / f'(0)
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