Complex Analysis: Theory and Applications · Problem 9.2.7

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=−iz_1 = -i, z2=0z_2 = 0, and z3=iz_3 = i onto w1=−1w_1 = -1, w2=iw_2 = i, and w3=1w_3 = 1, respectively.

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