Sum with alternate signs
02-06-2015, 05:18 PM
Post: #6
 salvomic Senior Member Posts: 1,396 Joined: Jan 2015
RE: Sum with alternate signs
(02-06-2015 05:08 PM)Gilles Wrote:  You can do

$\sum_{k=1}^{\infty}{\frac {-1}{(2*k)^{2}} } + \sum_{k=1}^{\infty}{\frac {1}{(2*k-1)^{2}} }$

By the way I get the correct answer on the HP50G but my Prime seems unable to calculate Psi(1/2,1) in a numeric value.

thanks a lot, Gilles,
yes I see that Prime don't approx Psi1/2,1); my HP50 does it.

Hope in a next firmware to have the symbolic result (π^2/12), more interesting than Psi()

∫aL√0mic (IT9CLU) :: HP Prime 50g 41CX 71b 42s 39s 35s 12C 15C - DM42, DM41X - WP34s Prime Soft. Lib
 « Next Oldest | Next Newest »

 Messages In This Thread Sum with alternate signs - salvomic - 02-06-2015, 02:26 PM RE: Sum with alternate signs - retoa - 02-06-2015, 04:47 PM RE: Sum with alternate signs - salvomic - 02-06-2015, 04:49 PM RE: Sum with alternate signs - Gilles - 02-06-2015, 05:08 PM RE: Sum with alternate signs - salvomic - 02-06-2015 05:18 PM RE: Sum with alternate signs - retoa - 02-06-2015, 05:10 PM RE: Sum with alternate signs - parisse - 02-06-2015, 06:55 PM RE: Sum with alternate signs - salvomic - 02-06-2015, 07:03 PM RE: Sum with alternate signs - parisse - 02-07-2015, 06:46 AM RE: Sum with alternate signs - salvomic - 02-07-2015, 10:11 AM RE: Sum with alternate signs - salvomic - 05-13-2015, 08:09 PM

User(s) browsing this thread: 1 Guest(s)