20220712, 17:52  #1 
Jul 2014
2×3^{2}×5^{2} Posts 
a contour integral device
Hi, I'm reading a book and I need to know how to evaluate this integral :
/ \frac{1}{2\pi i}\int_{ci\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? Last fiddled with by wildrabbitt on 20220712 at 17:59 
20220712, 18:37  #2  
Sep 2002
Database er0rr
11·389 Posts 
Quote:
\[\frac{1}{2\pi i}\int_{ci\infty}^{c+i\infty}\frac{y^s}{s}ds\] Last fiddled with by paulunderwood on 20220712 at 18:43 

20220712, 19:50  #3 
Jul 2014
2×3^{2}×5^{2} Posts 
Thanks.

20220712, 22:55  #4  
Apr 2020
3^{2}×5×19 Posts 
Quote:


20220713, 06:13  #5 
Jul 2014
111000010_{2} Posts 
Thanks a lot. That's just the sort of thing I was looking for.

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