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Timeline for Request for help with two integrals

Current License: CC BY-SA 3.0

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Mar 11, 2014 at 9:30 vote accept user6818
Mar 10, 2014 at 19:10 answer added მამუკა ჯიბლაძე timeline score: 3
Mar 10, 2014 at 11:58 comment added Neil Strickland For $a=n=1$ and $q=2$, the value of the first integral is $0.27092733012243642067462062834169051560736001350324$, which is not recognized by Maple's identify() command or by the inverse symbolic calculator site (oldweb.cecm.sfu.ca/projects/ISC/ISCmain.html). That makes me dubious that there is any useful closed form.
Mar 10, 2014 at 8:59 comment added მამუკა ჯიბლაძე Have you tried to use $$\sum_{k\in\mathbb Z}\frac{y^2}{y^2+(k+\frac12)^2}=\pi y\tanh(\pi y)$$?
Mar 10, 2014 at 7:27 history asked user6818 CC BY-SA 3.0