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Oct16-11, 08:15 PM
P: 1

Is this question from the exercises of chapter 5 of the text 'Spectral Methods' by Trefethen? If so, I believe equation (5.9) of that text is wrong. The potential should have the form

phi(z) = log(|z+sqrt(z^2 - 1)/2|)

so that the minus sign is actually a plus. I'm working on the first exercise. Your question seems to be pertaining to the fifth exercise. Not sure if this helps.