What is the sum of this convergent series?

scott1328 · #1 by **scott1328** » Dec 27, 2018 1:57 am

What is this sum?

i have no avatar · #2 by **i have no avatar** » Dec 27, 2018 2:09 am

scott1328 · #3 by **scott1328** » Dec 27, 2018 4:58 am

That page gives the number I calculated numerically. I was wondering if there was a closed form formula for that number.

i have no avatar · #4 by **i have no avatar** » Dec 27, 2018 5:30 am

Hmm, see this WMW entry, equation (17). But it is a beast (to me, anyway). The references may be of interest too, but I did not check.

scott1328 · #5 by **scott1328** » Dec 27, 2018 7:14 am

Okay. I may have to brush up on some of my arithmetic to grok that equation. Frankly, it hadn’t occurred to me how beastly it could be.

Thomas Eshuis · #6 by **Thomas Eshuis** » Dec 27, 2018 8:37 am

scott1328 wrote:What is this sum?

Wibbly-wobbly Mathy-tici, to me.