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 Hypergeometric2F1

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

 Input Form

 Hypergeometric2F1[-(11/8), 5, 37/8, -z] == -((1/(68719476736 z^(29/8))) (7917 (-1)^(1/8) (24024 (-1)^(7/8) z^(5/8) - 72160 (-1)^(7/8) z^(13/8) + 213840 (-1)^(7/8) z^(21/8) + 7596960 (-1)^(7/8) z^(29/8) + 7549080 (-1)^(7/8) z^(37/8) - 55 (-1)^(1/4) (-273 + 715 z - 2090 z^2 + 11286 z^3 + 65835 z^4 + 51471 z^5) Log[1 - (-1)^(1/8) z^(1/8)] + 55 (-1)^(1/4) (-273 + 715 z - 2090 z^2 + 11286 z^3 + 65835 z^4 + 51471 z^5) Log[1 + (-1)^(1/8) z^(1/8)] - 15015 Log[1 - (-1)^(3/8) z^(1/8)] + 39325 z Log[1 - (-1)^(3/8) z^(1/8)] - 114950 z^2 Log[1 - (-1)^(3/8) z^(1/8)] + 620730 z^3 Log[1 - (-1)^(3/8) z^(1/8)] + 3620925 z^4 Log[1 - (-1)^(3/8) z^(1/8)] + 2830905 z^5 Log[1 - (-1)^(3/8) z^(1/8)] + 15015 Log[1 + (-1)^(3/8) z^(1/8)] - 39325 z Log[1 + (-1)^(3/8) z^(1/8)] + 114950 z^2 Log[1 + (-1)^(3/8) z^(1/8)] - 620730 z^3 Log[1 + (-1)^(3/8) z^(1/8)] - 3620925 z^4 Log[1 + (-1)^(3/8) z^(1/8)] - 2830905 z^5 Log[1 + (-1)^(3/8) z^(1/8)] - 15015 (-1)^(3/4) Log[1 - (-1)^(5/8) z^(1/8)] + 39325 (-1)^(3/4) z Log[1 - (-1)^(5/8) z^(1/8)] - 114950 (-1)^(3/4) z^2 Log[1 - (-1)^(5/8) z^(1/8)] + 620730 (-1)^(3/4) z^3 Log[1 - (-1)^(5/8) z^(1/8)] + 3620925 (-1)^(3/4) z^4 Log[1 - (-1)^(5/8) z^(1/8)] + 2830905 (-1)^(3/4) z^5 Log[1 - (-1)^(5/8) z^(1/8)] + 15015 (-1)^(3/4) Log[1 + (-1)^(5/8) z^(1/8)] - 39325 (-1)^(3/4) z Log[1 + (-1)^(5/8) z^(1/8)] + 114950 (-1)^(3/4) z^2 Log[1 + (-1)^(5/8) z^(1/8)] - 620730 (-1)^(3/4) z^3 Log[1 + (-1)^(5/8) z^(1/8)] - 3620925 (-1)^(3/4) z^4 Log[1 + (-1)^(5/8) z^(1/8)] - 2830905 (-1)^(3/4) z^5 Log[1 + (-1)^(5/8) z^(1/8)] + 15015 I Log[1 - (-1)^(7/8) z^(1/8)] - 39325 I z Log[1 - (-1)^(7/8) z^(1/8)] + 114950 I z^2 Log[1 - (-1)^(7/8) z^(1/8)] - 620730 I z^3 Log[1 - (-1)^(7/8) z^(1/8)] - 3620925 I z^4 Log[1 - (-1)^(7/8) z^(1/8)] - 2830905 I z^5 Log[1 - (-1)^(7/8) z^(1/8)] - 15015 I Log[1 + (-1)^(7/8) z^(1/8)] + 39325 I z Log[1 + (-1)^(7/8) z^(1/8)] - 114950 I z^2 Log[1 + (-1)^(7/8) z^(1/8)] + 620730 I z^3 Log[1 + (-1)^(7/8) z^(1/8)] + 3620925 I z^4 Log[1 + (-1)^(7/8) z^(1/8)] + 2830905 I 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