Sign up ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Show that $$ \int_{-1}^{1} \frac{\log|z-x|}{\pi\sqrt{1-x^2}}dx = \log{\frac{|z+\sqrt{z^2-1}|}{2}},\quad z \in \mathbb{C} $$

How can I apply the Joukowski conformal map to this problem? Thanks.

share|cite|improve this question
A trivial question: what is the motivation behind this integral? Are you expecting a contour integral or something to solve this? It does not seem to related to conformal mapping. –  Kerry Mar 10 '12 at 6:15

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.