# Finding a conformal map to fit certain restrictions.

Find a conformal mapping which maps the upper half plane Im(z)>0 to |w|<1 such that w(a)=0 where a=a_x+ia_y and Im(a)=a_y>0.

Â© BrainMass Inc. brainmass.com February 24, 2021, 2:11 pm ad1c9bdddfhttps://brainmass.com/math/functional-analysis/finding-conformal-map-fit-certain-restrictions-6256

#### Solution Preview

If w(a)=0, then we know this mapping will map its symmetric point a'=a_x-ia_y to w=infinity. So ...

#### Solution Summary

A conformal map is found. A conformal map to fit certain restrictions are determined.

$2.19