Share
Explore BrainMass

Analyticity : Cauchy-Riemann Equation and Antiderivatives

Let D be a domain in C and assume that f is analytic in D. Decide whether the statements below are true or false and give a short reason for your answer.

a) If there exists an open subset U of D such that Im f≡0 in U, then f is constant in D.

Please see attached for all three questions.

Attachments

Solution Summary

Analyticity, Cauchy-Riemann Equation and Antiderivatives are investigated.

$2.19