Regularized confluent hypergeometric function 1F1: Specific values (formula 07.21.03.0138)

Hypergeometric1F1Regularized

$Mathematica Notation$

Hypergeometric Functions

Hypergeometric1F1Regularized[a,b,z]

Specific values

For fixed z

For fixed z and a=-11/2

http://functions.wolfram.com/07.21.03.0138.01

Input Form

Hypergeometric1F1Regularized[-(11/2), 11/2, z] == (1/(3715891200 Sqrt[Pi] z^(9/2))) (-2 E^z Sqrt[z] (1091475 + 2 z (1195425 + 8 z (239085 + 2 z (218295 + z (-1042575 + 2 z (328155 + 4 z (-19755 + z (2174 + z (-109 + 2 z))))))))) + Sqrt[Pi] (1091475 + 4 z (779625 + z (1403325 + 8 z (311850 + z (1091475 + 4 z (-654885 + z (363825 + 2 z (-41580 + z (4455 + 4 (-55 + z) z))))))))) Erfi[Sqrt[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

HypergeometricPFQRegularized[{},{b},z]
HypergeometricPFQRegularized[{a₁,a₂},{b₁},z]
HypergeometricPFQRegularized[{a₁,...,a_p},{b₁,...,b_q},z]