Tricomi confluent hypergeometric function: Specific values (formula 07.33.03.0508)

HypergeometricU

$Mathematica Notation$

Hypergeometric Functions

HypergeometricU[a,b,z]

Specific values

For fixed z

For fixed z and a=5/2

http://functions.wolfram.com/07.33.03.0508.01

Input Form

HypergeometricU[5/2, -(11/2), -z] == (1/(7741440 z)) ((z (2 E^z Sqrt[-z] (31185 + 2 z (12285 + 2 z (3339 + 2 z (795 + 2 z (195 + 2 z (63 - 46 z + 4 z^2)))))) + Sqrt[Pi] (31185 + 16 z (2835 + z (2205 + 2 z (630 + z (315 + 8 z (21 + z (21 + (-12 + z) z)))))))) - Sqrt[Pi] Sqrt[-z^2] (31185 + 16 z (2835 + z (2205 + 2 z (630 + z (315 + 8 z (21 + z (21 + (-12 + z) 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