Hypergeometric2F1[1/8, 6, 25/8, z] == (1/1342177280) (51 (-((2048 (1375 - 2346 z + 1035 z^2))/(-1 + z)^3) - (1/z^(1/8)) (2919735 (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)])) - (1/z^(9/8)) (149730 (8 z^(1/8) + 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)])) - (1/z^(17/8)) (2415 (72 z^(1/8) + 8 z^(9/8) + 9 Log[1 - z^(1/8)] - 9 I Log[1 - I z^(1/8)] + 9 I Log[1 + I z^(1/8)] - 9 Log[1 + z^(1/8)] - 9 (-1)^(3/4) Log[1 - (-1)^(1/4) z^(1/8)] + 9 (-1)^(3/4) Log[1 + (-1)^(1/4) z^(1/8)] - 9 (-1)^(1/4) Log[1 - (-1)^(3/4) z^(1/8)] + 9 (-1)^(1/4) Log[1 + (-1)^(3/4) z^(1/8)]))))

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2007-05-02