Complex Analysis: Theory and Applications · Problem 9.2.9

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=1z_1 = 1, z2=iz_2 = i, and z3=−1z_3 = -1 onto w1=0w_1 = 0, w2=1w_2 = 1, and w3=∞w_3 = \infty, respectively.

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