Complex Analysis: Theory and Applications · Problem 9.2.1

Conformal Mapping — Howell & Matthews

Mathematics — Complex Analysis · bilinear-transformations

Problem

If w=S(z)=(1−i)z+2(1+i)z+2w = S(z) = \dfrac{(1-i)z+2}{(1+i)z+2}, find S−1(w)S^{-1}(w).

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