Mathematics · Complex Analysis
Consider the polynomials p(z), q(z) in the complex variable z and let Ip, q = ∮γ p(z) q(z) dz where γ denotes the closed contour γ(t) = eit, 0 ≤ t ≤ 2π. Then which of the following is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Ip, q = p(0) q(0) for all polynomials p, q
- 2Ip, 1 = 0 for all polynomials p✓
- 3Izm, zn = 2πi for all positive integers n
- 4Izm, zn = 0 for all positive integers m, n with m ≠ n
Correct answer
Ip, 1 = 0 for all polynomials p
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