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Exercise [07.04]
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Joined: 12 Mar 2008, 10:57
Posts: 69
Location: India
Exercise [07.04]

(where n is a function of k.)
(Cauchy's formula)

16 May 2008, 13:32
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Joined: 07 Jun 2008, 08:21
Posts: 235
Re: Exercise [07.04]
Sameed
I think your proof needs to make it clear which contour the is referring to in each case. So, for example, in the first case I think you should write:
to indicate the closed contour which encloses all the poles (as stated in the exercise), and then:
(where n is a function of k.)
with an explanation of what the are (maybe with a diagram?).

Also an explanation of how travelling round the for all is equivalent to travelling round would be very useful to other members of the forum when trying to understand your proof.

31 Dec 2008, 12:55

Joined: 13 Aug 2009, 00:08
Posts: 13
Re: Exercise [07.04]
Oh! Just spotted a typo here -- very tiny, but the contour by the integral sign is actually a lower-case "r", when it should be an upper-case gamma .

But thanks for the solution -- I couldn't quite think of the right way to start this one.

16 Aug 2009, 21:16

Joined: 14 May 2011, 20:28
Posts: 1
Re: Exercise [07.04]
vasco wrote:
Also an explanation of how travelling round the for all is equivalent to travelling round would be very useful to other members of the forum when trying to understand your proof.

Hi,

I did a simple figure to illustrate this. See below.

Attachments:
File comment: Figure showing the equivalence of different closed contours.

contour.png [ 11.24 KiB | Viewed 1926 times ]
14 May 2011, 20:34
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