# What happens in Prob. 7 if you replace the potential by its conjugate harmonic? Data from Prob. 7 Let D: 0 x 1/2 , 0 y 1; D* the image of D under w = sin

What happens in Prob. 7 if you replace the potential by its conjugate harmonic?

**Data from Prob. 7**

Let D: 0 ≤ x ≤ 1/2 π, 0 ≤ y ≤ 1; D* the image of D under w = sin z; and Φ* = u^{2} - v^{2}. What is the corresponding potential Φ in D? What are its boundary values? Sketch D and D*.

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Chapter #

**18**Section: PROBLEM SET 18.2

Problem: 8

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