Map the upper half z-plane onto the unit disk Iwl ~ I so that 0, x. - I are mapped onto

Chapter 18, Problem 18.1.10

(choose chapter or problem)

Map the upper half z-plane onto the unit disk \(|w| \leqq 1\) so that 0, x, -1 are mapped onto 1, i, -i, respectively. What are the boundary conditions on |w| = 1 resulting from the potential in Prob. 9? What is the potential at w = 0?

Text Transcription:

|w| leqq 1

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