## Related questions with answers

Question

If $\mathbf{F}(x, y)=P(x, y) \mathbf{i}+Q(x, y) \mathbf{j}$ is a vector field in a domain D with div F = 0 and curl F = 0, then the complex function $g(z)=P(x, y)+i Q(x, y)$ is analytic in D. _____

Solution

VerifiedStep 1

1 of 2False$\qquad \overline{g(z)} =P-iQ\quad$is analytic according to theorem $20.7$

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