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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.b6og.01

 Input Form

 Hypergeometric2F1[-(45/8), 1, 27/8, -z] == -((1/(120259084288 z^(19/8))) (19 (-1)^(1/8) (-128888760 (-1)^(7/8) z^(3/8) - 995958600 (-1)^(7/8) z^(11/8) + 2981401192 (-1)^(7/8) z^(19/8) + 4167027480 (-1)^(7/8) z^(27/8) + 3631810776 (-1)^(7/8) z^(35/8) + 1945795368 (-1)^(7/8) z^(43/8) + 588922488 (-1)^(7/8) z^(51/8) + 77333256 (-1)^(7/8) z^(59/8) - 48333285 I (1 + z)^8 Log[1 - (-1)^(1/8) z^(1/8)] + 48333285 I (1 + z)^8 Log[1 + (-1)^(1/8) z^(1/8)] + 48333285 (-1)^(3/4) Log[1 - (-1)^(3/8) z^(1/8)] + 386666280 (-1)^(3/4) z Log[1 - (-1)^(3/8) z^(1/8)] + 1353331980 (-1)^(3/4) z^2 Log[1 - (-1)^(3/8) z^(1/8)] + 2706663960 (-1)^(3/4) z^3 Log[1 - (-1)^(3/8) z^(1/8)] + 3383329950 (-1)^(3/4) z^4 Log[1 - (-1)^(3/8) z^(1/8)] + 2706663960 (-1)^(3/4) z^5 Log[1 - (-1)^(3/8) z^(1/8)] + 1353331980 (-1)^(3/4) z^6 Log[1 - (-1)^(3/8) z^(1/8)] + 386666280 (-1)^(3/4) z^7 Log[1 - (-1)^(3/8) z^(1/8)] + 48333285 (-1)^(3/4) z^8 Log[1 - (-1)^(3/8) z^(1/8)] - 48333285 (-1)^(3/4) Log[1 + (-1)^(3/8) z^(1/8)] - 386666280 (-1)^(3/4) z Log[1 + (-1)^(3/8) z^(1/8)] - 1353331980 (-1)^(3/4) z^2 Log[1 + (-1)^(3/8) z^(1/8)] - 2706663960 (-1)^(3/4) z^3 Log[1 + (-1)^(3/8) z^(1/8)] - 3383329950 (-1)^(3/4) z^4 Log[1 + (-1)^(3/8) z^(1/8)] - 2706663960 (-1)^(3/4) z^5 Log[1 + (-1)^(3/8) z^(1/8)] - 1353331980 (-1)^(3/4) z^6 Log[1 + (-1)^(3/8) z^(1/8)] - 386666280 (-1)^(3/4) z^7 Log[1 + (-1)^(3/8) z^(1/8)] - 48333285 (-1)^(3/4) z^8 Log[1 + (-1)^(3/8) z^(1/8)] + 48333285 Log[1 - (-1)^(5/8) z^(1/8)] + 386666280 z Log[1 - (-1)^(5/8) z^(1/8)] + 1353331980 z^2 Log[1 - (-1)^(5/8) z^(1/8)] + 2706663960 z^3 Log[1 - (-1)^(5/8) z^(1/8)] + 3383329950 z^4 Log[1 - (-1)^(5/8) z^(1/8)] + 2706663960 z^5 Log[1 - (-1)^(5/8) z^(1/8)] + 1353331980 z^6 Log[1 - (-1)^(5/8) z^(1/8)] + 386666280 z^7 Log[1 - (-1)^(5/8) z^(1/8)] + 48333285 z^8 Log[1 - (-1)^(5/8) z^(1/8)] - 48333285 Log[1 + (-1)^(5/8) z^(1/8)] - 386666280 z Log[1 + (-1)^(5/8) z^(1/8)] - 1353331980 z^2 Log[1 + (-1)^(5/8) z^(1/8)] - 2706663960 z^3 Log[1 + (-1)^(5/8) z^(1/8)] - 3383329950 z^4 Log[1 + (-1)^(5/8) z^(1/8)] - 2706663960 z^5 Log[1 + (-1)^(5/8) z^(1/8)] - 1353331980 z^6 Log[1 + (-1)^(5/8) z^(1/8)] - 386666280 z^7 Log[1 + (-1)^(5/8) z^(1/8)] - 48333285 z^8 Log[1 + (-1)^(5/8) z^(1/8)] - 48333285 (-1)^(1/4) Log[1 - (-1)^(7/8) z^(1/8)] - 386666280 (-1)^(1/4) z Log[1 - (-1)^(7/8) z^(1/8)] - 1353331980 (-1)^(1/4) z^2 Log[1 - (-1)^(7/8) z^(1/8)] - 2706663960 (-1)^(1/4) z^3 Log[1 - (-1)^(7/8) z^(1/8)] - 3383329950 (-1)^(1/4) z^4 Log[1 - (-1)^(7/8) z^(1/8)] - 2706663960 (-1)^(1/4) z^5 Log[1 - (-1)^(7/8) z^(1/8)] - 1353331980 (-1)^(1/4) z^6 Log[1 - (-1)^(7/8) z^(1/8)] - 386666280 (-1)^(1/4) z^7 Log[1 - (-1)^(7/8) z^(1/8)] - 48333285 (-1)^(1/4) z^8 Log[1 - (-1)^(7/8) z^(1/8)] + 48333285 (-1)^(1/4) Log[1 + (-1)^(7/8) z^(1/8)] + 386666280 (-1)^(1/4) z Log[1 + (-1)^(7/8) z^(1/8)] + 1353331980 (-1)^(1/4) z^2 Log[1 + (-1)^(7/8) z^(1/8)] + 2706663960 (-1)^(1/4) z^3 Log[1 + (-1)^(7/8) z^(1/8)] + 3383329950 (-1)^(1/4) z^4 Log[1 + (-1)^(7/8) z^(1/8)] + 2706663960 (-1)^(1/4) z^5 Log[1 + (-1)^(7/8) z^(1/8)] + 1353331980 (-1)^(1/4) z^6 Log[1 + (-1)^(7/8) z^(1/8)] + 386666280 (-1)^(1/4) z^7 Log[1 + (-1)^(7/8) z^(1/8)] + 48333285 (-1)^(1/4) z^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