Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

How do i show that this function preserves angle? There is no function given along which this is mapped. I know that its derivative is $f'(z)=2z+1$ so it is conformal for all points except 1 and $z_0$ not equal to zero. But how do i show this preserves angle?

share|cite|improve this question

An analytic function is conformal precisely where its derivative is non-$0$. Thus, conformality holds everywhere except at $z=-\frac12$.

share|cite|improve this answer

Your Answer


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

Not the answer you're looking for? Browse other questions tagged or ask your own question.