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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.bt0f.01

 Input Form

 Hypergeometric2F1[-(9/8), 6, 31/8, -z] == -((161 (-1)^(1/8) (-55080 (-1)^(7/8) z^(7/8) + 337824 (-1)^(7/8) z^(15/8) + 424437200 (-1)^(7/8) z^(23/8) + 1097914400 (-1)^(7/8) z^(31/8) + 676229400 (-1)^(7/8) z^(39/8) - 765 (63 - 357 z + 2550 z^2 + 84150 z^3 + 191675 z^4 + 110495 z^5) Log[1 - (-1)^(1/8) z^(1/8)] + 765 (63 - 357 z + 2550 z^2 + 84150 z^3 + 191675 z^4 + 110495 z^5) Log[1 + (-1)^(1/8) z^(1/8)] - 48195 (-1)^(1/4) Log[1 - (-1)^(3/8) z^(1/8)] + 273105 (-1)^(1/4) z Log[1 - (-1)^(3/8) z^(1/8)] - 1950750 (-1)^(1/4) z^2 Log[1 - (-1)^(3/8) z^(1/8)] - 64374750 (-1)^(1/4) z^3 Log[1 - (-1)^(3/8) z^(1/8)] - 146631375 (-1)^(1/4) z^4 Log[1 - (-1)^(3/8) z^(1/8)] - 84528675 (-1)^(1/4) z^5 Log[1 - (-1)^(3/8) z^(1/8)] + 48195 (-1)^(1/4) Log[1 + (-1)^(3/8) z^(1/8)] - 273105 (-1)^(1/4) z Log[1 + (-1)^(3/8) z^(1/8)] + 1950750 (-1)^(1/4) z^2 Log[1 + (-1)^(3/8) z^(1/8)] + 64374750 (-1)^(1/4) z^3 Log[1 + (-1)^(3/8) z^(1/8)] + 146631375 (-1)^(1/4) z^4 Log[1 + (-1)^(3/8) z^(1/8)] + 84528675 (-1)^(1/4) z^5 Log[1 + (-1)^(3/8) z^(1/8)] - 48195 I Log[1 - (-1)^(5/8) z^(1/8)] + 273105 I z Log[1 - (-1)^(5/8) z^(1/8)] - 1950750 I z^2 Log[1 - (-1)^(5/8) z^(1/8)] - 64374750 I z^3 Log[1 - (-1)^(5/8) z^(1/8)] - 146631375 I z^4 Log[1 - (-1)^(5/8) z^(1/8)] - 84528675 I z^5 Log[1 - (-1)^(5/8) z^(1/8)] + 48195 I Log[1 + (-1)^(5/8) z^(1/8)] - 273105 I z Log[1 + (-1)^(5/8) z^(1/8)] + 1950750 I z^2 Log[1 + (-1)^(5/8) z^(1/8)] + 64374750 I z^3 Log[1 + (-1)^(5/8) z^(1/8)] + 146631375 I z^4 Log[1 + (-1)^(5/8) z^(1/8)] + 84528675 I z^5 Log[1 + (-1)^(5/8) z^(1/8)] - 48195 (-1)^(3/4) Log[1 - (-1)^(7/8) z^(1/8)] + 273105 (-1)^(3/4) z Log[1 - (-1)^(7/8) z^(1/8)] - 1950750 (-1)^(3/4) z^2 Log[1 - (-1)^(7/8) z^(1/8)] - 64374750 (-1)^(3/4) z^3 Log[1 - (-1)^(7/8) z^(1/8)] - 146631375 (-1)^(3/4) z^4 Log[1 - (-1)^(7/8) z^(1/8)] - 84528675 (-1)^(3/4) z^5 Log[1 - (-1)^(7/8) z^(1/8)] + 48195 (-1)^(3/4) Log[1 + (-1)^(7/8) z^(1/8)] - 273105 (-1)^(3/4) z Log[1 + (-1)^(7/8) z^(1/8)] + 1950750 (-1)^(3/4) z^2 Log[1 + (-1)^(7/8) z^(1/8)] + 64374750 (-1)^(3/4) z^3 Log[1 + (-1)^(7/8) z^(1/8)] + 146631375 (-1)^(3/4) z^4 Log[1 + (-1)^(7/8) z^(1/8)] + 84528675 (-1)^(3/4) z^5 Log[1 + (-1)^(7/8) z^(1/8)]))/(68719476736 z^(23/8) (1 + z)))

 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