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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.bsgc.01

 Input Form

 Hypergeometric2F1[-(9/8), 2, -(1/8), -z] == (9/64) (-(8/(1 + z)) + (17/9) (8 - 72 z - 9 (-1)^(1/8) z^(9/8) Log[1 - (-1)^(1/8) z^(1/8)] + 9 (-1)^(1/8) z^(9/8) Log[1 + (-1)^(1/8) z^(1/8)] - 9 (-1)^(3/8) z^(9/8) Log[1 - (-1)^(3/8) z^(1/8)] + 9 (-1)^(3/8) z^(9/8) Log[1 + (-1)^(3/8) z^(1/8)] - 9 (-1)^(5/8) z^(9/8) Log[1 - (-1)^(5/8) z^(1/8)] + 9 (-1)^(5/8) z^(9/8) Log[1 + (-1)^(5/8) z^(1/8)] - 9 (-1)^(7/8) z^(9/8) Log[1 - (-1)^(7/8) z^(1/8)] + 9 (-1)^(7/8) z^(9/8) Log[1 + (-1)^(7/8) z^(1/8)]))

 Standard Form

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 MathML Form

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 Rule Form

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 Date Added to functions.wolfram.com (modification date)

 2007-05-02