Mathematics · Complex Analysis
Given below are two statements: Statement I: If f(z) = u + iv is an analytic function, then u and v are both harmonic functions. Statement II: If f(z) is analytic within and on a closed curve C, and if 'a' is any point within C, then f(a) = 1 2πi ∫ C f(z) z - a dz. In the light of the above statements, choose the correct option:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Statement I is incorrect but Statement II is correct
- 2Statement I is correct but Statement II is incorrect
- 3Both Statement I and Statement II are incorrect
- 4Both Statement I and Statement II are correct✓
Correct answer
Both Statement I and Statement II are correct
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