Complex Analysis: Theory and Applications · Problem 9.2.6

Conformal Mapping — Howell & Matthews

Mathematics — Complex Analysis · bilinear-transformations

Problem

Find the bilinear transformation w=S(z)w = S(z) that maps the points z1=0z_1 = 0, z2=iz_2 = i, and z3=−iz_3 = -i onto w1=−1w_1 = -1, w2=1w_2 = 1, and w3=0w_3 = 0, respectively.

Browse the problem library