Complex Analysis: Theory and Applications · Problem 9.2.8

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=1z_2 = 1, and z3=2z_3 = 2 onto w1=0w_1 = 0, w2=1w_2 = 1, and w3=∞w_3 = \infty, respectively.

Browse the problem library