(1/(1 + z^2)^(1/4)) EllipticK[-((-z + Sqrt[1 + z^2])^2/ (4 z Sqrt[1 + z^2]))] == (1/2) MeijerG[{{3/4}, {3/4}}, {{1/4, 1/4}, {}}, z, 1/2] /; Re[z] > 0

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2001-10-29