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Post by Admin on Nov 16, 2017 10:45:34 GMT
I think there is an error in the statement of part (iv) of the exercise which probably stems from the replacement of $\pi z$ by $z$ in part (ii). It seems to me that the exercise should read: "By integrating along any path from $0$ to $z$ that avoids integer multiples of $\pi$,..."
This is because on the RHS of the result in part (iii) we want to avoid values of $z$ for which $(z^2-n^2\pi^2)=0$.
Vasco/Admin
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Gary
GaryVasco
Posts: 3,352
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Post by Gary on Jan 2, 2018 15:44:22 GMT
I think there is an error in the statement of part (iv) of the exercise which probably stems from the replacement of $\pi z$ by $z$ in part (ii). It seems to me that the exercise should read: "By integrating along any path from $0$ to $z$ that avoids integer multiples of $\pi$,..." This is because on the RHS of the result in part (iii) we want to avoid values of $z$ for which $(z^2-n^2\pi^2)=0$. Vasco/Admin Vasco, I don't remember seeing this post, but I certainly agree with it, as I was wondering what difference it would make in this case for n to be an integer. $n\pi$ would not be an integer pole. Gary
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