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http://functions.wolfram.com/06.23.20.0010.01
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D[InverseBetaRegularized[z, a, b], {z, 6}] == (1 - w)^(1 - 6 b) w^(1 - 6 a)
(1 - a (15 + a (-85 + a (225 + 2 a (-137 + 60 a)))) - 62 w +
(a (507 + a (-1622 + a (2547 + 10 a (-197 + 60 a)))) +
3 (-1 + a) (-1 + 2 a) (19 + a (-87 + 100 a)) b) w -
2 (-1 + a) (2 (-3 + 4 a) (-3 + 5 a) (15 + a (-29 + 15 a)) +
(-477 + a (1973 + a (-2681 + 1200 a))) b + (212 - 711 a + 600 a^2) b^2)
w^2 + 2 (-1 + a) (780 + a (-2943 + 2 a (2066 + 5 a (-257 + 60 a))) -
1923 b + a (5717 + 3 a (-1859 + 600 a)) b +
(1585 + 12 a (-287 + 150 a)) b^2 + (-437 + 600 a) b^3) w^3 -
5 (-1 + a) (-3 + 2 a + 2 b) (-4 + 3 a + 3 b) (-5 + 4 a + 4 b)
(-6 + 5 a + 5 b) w^4 + (-2 + a + b) (-3 + 2 a + 2 b) (-4 + 3 a + 3 b)
(-5 + 4 a + 4 b) (-6 + 5 a + 5 b) w^5) Beta[a, b]^6 /;
w == InverseBetaRegularized[z, a, b]
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Date Added to functions.wolfram.com (modification date)
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