Mathematics · Complex Analysis
Are the Cauchy-Riemann (C-R) equations alone both necessary and sufficient for a complex function to be analytic at a point?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1False, they are necessary but not sufficient without continuity of partial derivatives✓
- 2It depends only on the range of the function
- 3True, they are always necessary and sufficient
- 4They are neither necessary nor sufficient
Correct answer
False, they are necessary but not sufficient without continuity of partial derivatives
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