Question 4. Find a conformal mapping f which maps the cut plane D-1, onto the unit disc D₁(0) = { z € C : |z| < 1}. Recall that the cut plane D-1,T is defined as D-1,π = C\ {z EC: z = −1+re¹ -1-r, r≥ 0}. ==

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Chapter2: Second-order Linear Odes
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Question 4. Find a conformal mapping f which maps the cut plane D-1, onto the
unit disc D₁(0) = { z € C : |z| < 1}. Recall that the cut plane D-1, is defined as
D-1,π = C\ { z EC: z = −1+re¹ = −1−r, r≥ 0}.
Transcribed Image Text:Question 4. Find a conformal mapping f which maps the cut plane D-1, onto the unit disc D₁(0) = { z € C : |z| < 1}. Recall that the cut plane D-1, is defined as D-1,π = C\ { z EC: z = −1+re¹ = −1−r, r≥ 0}.
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