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 Hypergeometric2F1

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

 Input Form

 Hypergeometric2F1[-(7/8), 2, 41/8, -z] == -((1/(16777216 z^(33/8))) (55 (-1)^(1/8) (214200 (-1)^(7/8) z^(1/8) + 704480 (-1)^(7/8) z^(9/8) + 702800 (-1)^(7/8) z^(17/8) + 34272 (-1)^(7/8) z^(25/8) + 18360 (-1)^(7/8) z^(33/8) - 5355 (-1)^(3/4) (1 + z)^4 (-5 + 3 z) Log[1 - (-1)^(1/8) z^(1/8)] + 5355 (-1)^(3/4) (1 + z)^4 (-5 + 3 z) Log[1 + (-1)^(1/8) z^(1/8)] + 26775 I Log[1 - (-1)^(3/8) z^(1/8)] + 91035 I z Log[1 - (-1)^(3/8) z^(1/8)] + 96390 I z^2 Log[1 - (-1)^(3/8) z^(1/8)] + 10710 I z^3 Log[1 - (-1)^(3/8) z^(1/8)] - 37485 I z^4 Log[1 - (-1)^(3/8) z^(1/8)] - 16065 I z^5 Log[1 - (-1)^(3/8) z^(1/8)] - 26775 I Log[1 + (-1)^(3/8) z^(1/8)] - 91035 I z Log[1 + (-1)^(3/8) z^(1/8)] - 96390 I z^2 Log[1 + (-1)^(3/8) z^(1/8)] - 10710 I z^3 Log[1 + (-1)^(3/8) z^(1/8)] + 37485 I z^4 Log[1 + (-1)^(3/8) z^(1/8)] + 16065 I z^5 Log[1 + (-1)^(3/8) z^(1/8)] + 26775 (-1)^(1/4) Log[1 - (-1)^(5/8) z^(1/8)] + 91035 (-1)^(1/4) z Log[1 - (-1)^(5/8) z^(1/8)] + 96390 (-1)^(1/4) z^2 Log[1 - (-1)^(5/8) z^(1/8)] + 10710 (-1)^(1/4) z^3 Log[1 - (-1)^(5/8) z^(1/8)] - 37485 (-1)^(1/4) z^4 Log[1 - (-1)^(5/8) z^(1/8)] - 16065 (-1)^(1/4) z^5 Log[1 - (-1)^(5/8) z^(1/8)] - 26775 (-1)^(1/4) Log[1 + (-1)^(5/8) z^(1/8)] - 91035 (-1)^(1/4) z Log[1 + (-1)^(5/8) z^(1/8)] - 96390 (-1)^(1/4) z^2 Log[1 + (-1)^(5/8) z^(1/8)] - 10710 (-1)^(1/4) z^3 Log[1 + (-1)^(5/8) z^(1/8)] + 37485 (-1)^(1/4) z^4 Log[1 + (-1)^(5/8) z^(1/8)] + 16065 (-1)^(1/4) z^5 Log[1 + (-1)^(5/8) z^(1/8)] + 26775 Log[1 - (-1)^(7/8) z^(1/8)] + 91035 z Log[1 - (-1)^(7/8) z^(1/8)] + 96390 z^2 Log[1 - (-1)^(7/8) z^(1/8)] + 10710 z^3 Log[1 - (-1)^(7/8) z^(1/8)] - 37485 z^4 Log[1 - (-1)^(7/8) z^(1/8)] - 16065 z^5 Log[1 - (-1)^(7/8) z^(1/8)] - 26775 Log[1 + (-1)^(7/8) z^(1/8)] - 91035 z Log[1 + (-1)^(7/8) z^(1/8)] - 96390 z^2 Log[1 + (-1)^(7/8) z^(1/8)] - 10710 z^3 Log[1 + (-1)^(7/8) z^(1/8)] + 37485 z^4 Log[1 + (-1)^(7/8) z^(1/8)] + 16065 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