Pve that if a linear fractional transformation w az , Basic Computer Science

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Pve that if a linear fractional transformation w az

Self-mappings of IHI.

Prove that if a linear fractional transformation w = (az + b) / ( cz + d) maps the real line of the z plane into the real line of the w plane, then a , b, c, and d must all be real, except possibly for a common phase factor that can be removed without changing the map z w.

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Basic Computer Science: Pve that if a linear fractional transformation w az

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