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 Hypergeometric2F1

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

 Input Form

 Hypergeometric2F1[-(11/8), 6, 45/8, z] == (1/(43980465111040 z^(37/8))) (97643 (-1)^(1/4) (696696 (-1)^(3/4) z^(5/8) + 1853544 (-1)^(3/4) z^(13/8) + 4362160 (-1)^(3/4) z^(21/8) + 11808720 (-1)^(3/4) z^(29/8) - 393238440 (-1)^(3/4) z^(37/8) + 385003080 (-1)^(3/4) z^(45/8) + 165 (-1)^(3/4) (2639 + 6006 z + 13585 z^2 + 37620 z^3 + 197505 z^4 - 1132362 z^5 + 875007 z^6) Log[1 - z^(1/8)] + 165 (-1)^(1/4) (2639 + 6006 z + 13585 z^2 + 37620 z^3 + 197505 z^4 - 1132362 z^5 + 875007 z^6) Log[1 - I z^(1/8)] - 435435 (-1)^(1/4) Log[1 + I z^(1/8)] - 990990 (-1)^(1/4) z Log[1 + I z^(1/8)] - 2241525 (-1)^(1/4) z^2 Log[1 + I z^(1/8)] - 6207300 (-1)^(1/4) z^3 Log[1 + I z^(1/8)] - 32588325 (-1)^(1/4) z^4 Log[1 + I z^(1/8)] + 186839730 (-1)^(1/4) z^5 Log[1 + I z^(1/8)] - 144376155 (-1)^(1/4) z^6 Log[1 + I z^(1/8)] - 435435 (-1)^(3/4) Log[1 + z^(1/8)] - 990990 (-1)^(3/4) z Log[1 + z^(1/8)] - 2241525 (-1)^(3/4) z^2 Log[1 + z^(1/8)] - 6207300 (-1)^(3/4) z^3 Log[1 + z^(1/8)] - 32588325 (-1)^(3/4) z^4 Log[1 + z^(1/8)] + 186839730 (-1)^(3/4) z^5 Log[1 + z^(1/8)] - 144376155 (-1)^(3/4) z^6 Log[1 + z^(1/8)] - 435435 I Log[1 - (-1)^(1/4) z^(1/8)] - 990990 I z Log[1 - (-1)^(1/4) z^(1/8)] - 2241525 I z^2 Log[1 - (-1)^(1/4) z^(1/8)] - 6207300 I z^3 Log[1 - (-1)^(1/4) z^(1/8)] - 32588325 I z^4 Log[1 - (-1)^(1/4) z^(1/8)] + 186839730 I z^5 Log[1 - (-1)^(1/4) z^(1/8)] - 144376155 I z^6 Log[1 - (-1)^(1/4) z^(1/8)] + 435435 I Log[1 + (-1)^(1/4) z^(1/8)] + 990990 I z Log[1 + (-1)^(1/4) z^(1/8)] + 2241525 I z^2 Log[1 + (-1)^(1/4) z^(1/8)] + 6207300 I z^3 Log[1 + (-1)^(1/4) z^(1/8)] + 32588325 I z^4 Log[1 + (-1)^(1/4) z^(1/8)] - 186839730 I z^5 Log[1 + (-1)^(1/4) z^(1/8)] + 144376155 I z^6 Log[1 + (-1)^(1/4) z^(1/8)] - 435435 Log[1 - (-1)^(3/4) z^(1/8)] - 990990 z Log[1 - (-1)^(3/4) z^(1/8)] - 2241525 z^2 Log[1 - (-1)^(3/4) z^(1/8)] - 6207300 z^3 Log[1 - (-1)^(3/4) z^(1/8)] - 32588325 z^4 Log[1 - (-1)^(3/4) z^(1/8)] + 186839730 z^5 Log[1 - (-1)^(3/4) z^(1/8)] - 144376155 z^6 Log[1 - (-1)^(3/4) z^(1/8)] + 435435 Log[1 + (-1)^(3/4) z^(1/8)] + 990990 z Log[1 + (-1)^(3/4) z^(1/8)] + 2241525 z^2 Log[1 + (-1)^(3/4) z^(1/8)] + 6207300 z^3 Log[1 + (-1)^(3/4) z^(1/8)] + 32588325 z^4 Log[1 + (-1)^(3/4) z^(1/8)] - 186839730 z^5 Log[1 + (-1)^(3/4) z^(1/8)] + 144376155 z^6 Log[1 + (-1)^(3/4) 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