http://functions.wolfram.com/EllipticIntegrals/EllipticPi3/06/01/11/ My a and b violated the validity conditions, but I was able to complex-conjugate my way around them. I can no longer download notebooks from functions.wolfram.com . Instead of asking where to put it, Mma now tries to load it into an old Mma with an expired license, and hangs up "Loading computable document"! On Fri, Nov 2, 2012 at 8:09 AM, Bill Gosper <billgosper@gmail.com> wrote:

Can anyone do Limit[EllipticPi[a, I*y, b], y ->∞] , where a and b are complex constants? --rwg

Is this trivium trivial?: EllipticK[8/9 Sqrt[2] E^(I ArcTan[7/(4 Sqrt[2])])] == E^(I ArcTan[1/(2 Sqrt[2])]) EllipticK[1/9] --rwg