Find the linear fractional transformation z g(Z) that maps Z 1 onto z 1 with Z i 2 being mapped onto z 0 Show that Z 1 0 6 0 8i is mapped onto z 1 and Z 2 0 6 0 8i onto z 1, so that the equipotential lines of Example 2 look in Z 1 as shown in Fig 407

Question: Find the linear fractional transformation z = g(Z) that maps |Z| 1 onto |z| 1 with Z = i/2 being mapped onto z

Find the linear fractional transformation z = g(Z) that maps |Z| ≤ 1 onto |z| ≤ 1 with Z = i/2 being mapped onto z = 0. Show that Z₁ = 0.6 + 0.8i is mapped onto z = -1 and Z₂ = -0.6 + 0.8i onto z = 1, so that the equipotential lines of Example 2 look in |Z| ≤ 1 as shown in Fig. 407.

$Find the linear fractional transformation z = g(Z) that maps |Z| ≤$

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