Hypergeometric2F1[-(3/8), 6, 21/8, z] == (1/268435456) (13 ((2048 (1927 - 3402 z + 1539 z^2))/(-1 + z)^3 - (1/z^(13/8)) (16929 (8 z^(5/8) + 5 Log[1 - z^(1/8)] - 5 I Log[1 - I z^(1/8)] + 5 I Log[1 + I z^(1/8)] - 5 Log[1 + z^(1/8)] + 5 (-1)^(3/4) Log[1 - (-1)^(1/4) z^(1/8)] - 5 (-1)^(3/4) Log[1 + (-1)^(1/4) z^(1/8)] + 5 (-1)^(1/4) Log[1 - (-1)^(3/4) z^(1/8)] - 5 (-1)^(1/4) Log[1 + (-1)^(3/4) z^(1/8)])) - (1/z^(5/8)) (1185030 (Log[1 - z^(1/8)] - I Log[1 - I z^(1/8)] + I Log[1 + I z^(1/8)] - Log[1 + z^(1/8)] + (-1)^(3/4) Log[1 - (-1)^(1/4) z^(1/8)] - (-1)^(3/4) Log[1 + (-1)^(1/4) z^(1/8)] + (-1)^(1/4) Log[1 - (-1)^(3/4) z^(1/8)] - (-1)^(1/4) Log[1 + (-1)^(3/4) z^(1/8)])) - 8492715 (-(8/3) + z^(3/8) (-Log[1 - z^(1/8)] + I Log[1 - I z^(1/8)] - I Log[1 + I z^(1/8)] + Log[1 + z^(1/8)] - (-1)^(3/4) Log[1 - (-1)^(1/4) z^(1/8)] + (-1)^(3/4) Log[1 + (-1)^(1/4) z^(1/8)] - (-1)^(1/4) Log[1 - (-1)^(3/4) z^(1/8)] + (-1)^(1/4) Log[1 + (-1)^(3/4) z^(1/8)]))))

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2007-05-02