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Re: question

• To: mathgroup at smc.vnet.net
• Subject: [mg75270] Re: question
• From: Bhuvanesh <lalu_bhatt at yahoo.com>
• Date: Mon, 23 Apr 2007 05:38:34 -0400 (EDT)

Offhand I'm not sure how to do this with Mathematica, but 

2*EllipticF[Pi/4, 2] == Sqrt[2]*EllipticK[1/2], and by

http://functions.wolfram.com/EllipticIntegrals/EllipticK/03/01/0002/

Sqrt[2]*EllipticK[1/2] == Sqrt[2]*8*Pi^(3/2)/Gamma[-1/4]^2

After this, of course, you can use a reflection formula.

Bhuvanesh,
Wolfram Research