Self-mappings of ihi, Prove that if a linear fractional

Self-mappings of ihi

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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.

Reference no: EM13968034

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