Re: question

*To*: mathgroup at smc.vnet.net*Subject*: [mg75282] Re: [mg75255] question*From*: Andrzej Kozlowski <akoz at mimuw.edu.pl>*Date*: Mon, 23 Apr 2007 05:44:50 -0400 (EDT)*References*: <200704220910.FAA20298@smc.vnet.net>

On 22 Apr 2007, at 18:10, dimitris wrote: > Can somebody point me out a way to show that the > Gamma[1/4]^2/(2*Sqrt[2*Pi]) is equal to 2*EllipticF[Pi/4, 2] or/and a > series > of steps from taking from the latter to the former and vice versa? > I can't see how to do this but I can at least show that this is equivalent to the following curious formula for Pi: Pi == Gamma[1/4]^4/(16*EllipticK[1/2]^2) So if one can prove (or find somewhere a proof) of this formula then one will also obtain your derivation. Andrzej Kozlowski

**References**:**question***From:*dimitris <dimmechan@yahoo.com>