Tricomi confluent hypergeometric function: Specific values (formula 07.33.03.0417)

HypergeometricU

$Mathematica Notation$

Hypergeometric Functions

HypergeometricU[a,b,z]

Specific values

For fixed z

For fixed z and a=3/2

http://functions.wolfram.com/07.33.03.0417.01

Input Form

HypergeometricU[3/2, -(11/2), -z] == (1/(322560 Sqrt[z])) ((-2 E^z Sqrt[-z^2] (-10395 + 4 z (-1575 + z (-693 + 4 z (-66 + z (-25 + 4 (-3 + z) z))))) + Sqrt[Pi] Sqrt[z] (10395 + 2 z (6615 + 2 z (2205 + 2 z (525 + 2 z (105 + 2 z (21 + 2 (7 - 2 z) z)))))) + Sqrt[Pi] Sqrt[-z] (-10395 + 2 z (-6615 + 2 z (-2205 + 2 z (-525 + 2 z (-105 + 2 z (-21 + 2 z (-7 + 2 z))))))) Erfi[Sqrt[z]])/E^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