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Old 2022-07-12, 18:37   #2
paulunderwood
 
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Sep 2002
Database er0rr

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Quote:
Originally Posted by wildrabbitt View Post
Hi, I'm reading a book and I need to know how to evaluate this integral :



\frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty}\frac{y^s}{s}ds


/ \frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty}\frac{y^s}{s}ds forgotten how to get latex in a post again

I know it equals 0 on (0,1), 1/2 for y = 1 and 1 for y > 1 but I can't find a proof anywhere.


Perhaps someone recognises it and knows a page online or a book where I could find it?
Encapsulate the \(\LaTeX\) in backslash left braket and backslash right bracket. For inline use parentheses.

\[\frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty}\frac{y^s}{s}ds\]

Last fiddled with by paulunderwood on 2022-07-12 at 18:43
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