This can look like a stupid question, but I just can't see the trick (or maybe because I'm up since 5:30am, I'm too tired to think correctly...)
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By the Binomial Theorem:
Now prove that:
Another way: for all naturals n
Another way. ( is unit circle).
Geometric series, .
Now use residue theorem and this integral calculates to .
Originally Posted by PaulRS
Now prove that: Hmm, that's what I was struggling with.. I think I've understood ^^ It's all a matter of denominator ~
The other methods don't correspond to the general method expected by the paper, but it's quite interesting
Thus: let we have:
Thus our solution satisfies the differential equation: which is quite easy to solve (we define )
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