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 Hypergeometric2F1

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

 Input Form

 Hypergeometric2F1[-(9/8), 4, 39/8, -z] == -((1/(2147483648 z^(31/8))) (4991 (-1)^(1/8) (8280 (-1)^(7/8) z^(7/8) - 5664 (-1)^(7/8) z^(15/8) + 5520 (-1)^(7/8) z^(23/8) + 421600 (-1)^(7/8) z^(31/8) + 336600 (-1)^(7/8) z^(39/8) - 45 (1 + z)^2 (-161 + 357 z - 595 z^2 + 935 z^3) Log[1 - (-1)^(1/8) z^(1/8)] + 45 (1 + z)^2 (-161 + 357 z - 595 z^2 + 935 z^3) Log[1 + (-1)^(1/8) z^(1/8)] + 7245 (-1)^(1/4) Log[1 - (-1)^(3/8) z^(1/8)] - 1575 (-1)^(1/4) z Log[1 - (-1)^(3/8) z^(1/8)] + 1890 (-1)^(1/4) z^2 Log[1 - (-1)^(3/8) z^(1/8)] - 4590 (-1)^(1/4) z^3 Log[1 - (-1)^(3/8) z^(1/8)] - 57375 (-1)^(1/4) z^4 Log[1 - (-1)^(3/8) z^(1/8)] - 42075 (-1)^(1/4) z^5 Log[1 - (-1)^(3/8) z^(1/8)] - 7245 (-1)^(1/4) Log[1 + (-1)^(3/8) z^(1/8)] + 1575 (-1)^(1/4) z Log[1 + (-1)^(3/8) z^(1/8)] - 1890 (-1)^(1/4) z^2 Log[1 + (-1)^(3/8) z^(1/8)] + 4590 (-1)^(1/4) z^3 Log[1 + (-1)^(3/8) z^(1/8)] + 57375 (-1)^(1/4) z^4 Log[1 + (-1)^(3/8) z^(1/8)] + 42075 (-1)^(1/4) z^5 Log[1 + (-1)^(3/8) z^(1/8)] + 7245 I Log[1 - (-1)^(5/8) z^(1/8)] - 1575 I z Log[1 - (-1)^(5/8) z^(1/8)] + 1890 I z^2 Log[1 - (-1)^(5/8) z^(1/8)] - 4590 I z^3 Log[1 - (-1)^(5/8) z^(1/8)] - 57375 I z^4 Log[1 - (-1)^(5/8) z^(1/8)] - 42075 I z^5 Log[1 - (-1)^(5/8) z^(1/8)] - 7245 I Log[1 + (-1)^(5/8) z^(1/8)] + 1575 I z Log[1 + (-1)^(5/8) z^(1/8)] - 1890 I z^2 Log[1 + (-1)^(5/8) z^(1/8)] + 4590 I z^3 Log[1 + (-1)^(5/8) z^(1/8)] + 57375 I z^4 Log[1 + (-1)^(5/8) z^(1/8)] + 42075 I z^5 Log[1 + (-1)^(5/8) z^(1/8)] + 7245 (-1)^(3/4) Log[1 - (-1)^(7/8) z^(1/8)] - 1575 (-1)^(3/4) z Log[1 - (-1)^(7/8) z^(1/8)] + 1890 (-1)^(3/4) z^2 Log[1 - (-1)^(7/8) z^(1/8)] - 4590 (-1)^(3/4) z^3 Log[1 - (-1)^(7/8) z^(1/8)] - 57375 (-1)^(3/4) z^4 Log[1 - (-1)^(7/8) z^(1/8)] - 42075 (-1)^(3/4) z^5 Log[1 - (-1)^(7/8) z^(1/8)] - 7245 (-1)^(3/4) Log[1 + (-1)^(7/8) z^(1/8)] + 1575 (-1)^(3/4) z Log[1 + (-1)^(7/8) z^(1/8)] - 1890 (-1)^(3/4) z^2 Log[1 + (-1)^(7/8) z^(1/8)] + 4590 (-1)^(3/4) z^3 Log[1 + (-1)^(7/8) z^(1/8)] + 57375 (-1)^(3/4) z^4 Log[1 + (-1)^(7/8) z^(1/8)] + 42075 (-1)^(3/4) z^5 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