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http://functions.wolfram.com/06.12.20.0012.01
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D[InverseGammaRegularized[a, z], {z, 10}] == E^(10 w) w^(1 - 10 a)
(1 -
a (45 + a (-870 + a (9450 + a (-63273 + a (269325 + 4 a (-180920 +
9 a (32575 + 4 a (-7129 + 2520 a)))))))) + 1013 w +
a (-23558 + a (236708 + a (-1342358 +
a (4695827 + 4 a (-2587913 + 9 a (388057 + 28 a (-10369 +
3240 a))))))) w - 12 (-1 + a) (-1 + 2 a) (-1 + 3 a)
(5132 + a (-48309 + a (173515 + 42 a (-6769 + 4320 a)))) w^2 +
10 (-1 + a) (-1 + 2 a) (92035 +
a (-726451 + 36 a (60397 + 7 a (-11665 + 6048 a)))) w^3 -
4 (-1 + a) (1297853 + a (-8822594 +
45 a (503655 + 28 a (-20737 + 9072 a)))) w^4 +
12 (-1 + a) (-1110757 + 63 a (79109 + 4 a (-29809 + 15120 a))) w^5 -
72 (-1 + a) (235275 + 14 a (-44929 + 30240 a)) w^6 +
144 (-1 + a) (-75169 + 90720 a) w^7 - 3265920 (-1 + a) w^8 + 362880 w^9)
Gamma[a]^10 /; w == InverseGammaRegularized[a, z]
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Date Added to functions.wolfram.com (modification date)
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