Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1741)

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

HypergeometricPFQ[{a₁,a₂},{b₁,b₂},z]

Specific values

For integer and half-integer parameters and fixed z

For fixed z and a₁=-11/2, a₂>=-11/2

For fixed z and a₁=-11/2, a₂=3, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=3, b₁=2

http://functions.wolfram.com/07.25.03.1741.01

Input Form

HypergeometricPFQ[{-(11/2), 3}, {2, 7/2}, -z] == (1/(11010048 z^2)) ((31185 + 187110 z + 7636524 z^2 + 11395752 z^3 + 5151792 z^4 + 940576 z^5 + 72256 z^6 + 1920 z^7)/E^z) + (1/(22020096 z^(5/2))) (Sqrt[Pi] (-31185 - 166320 z + 3492720 z^2 + 23284800 z^3 + 27165600 z^4 + 11176704 z^5 + 1951488 z^6 + 146432 z^7 + 3840 z^8) Erf[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

HypergeometricPFQ[{},{},z]
HypergeometricPFQ[{},{b},z]
HypergeometricPFQ[{a},{},z]
HypergeometricPFQ[{a},{b},z]
HypergeometricPFQ[{a₁},{b₁,b₂},z]
HypergeometricPFQ[{a₁,a₂},{b₁},z]
HypergeometricPFQ[{a₁,a₂},{b₁,b₂,b₃},z]
HypergeometricPFQ[{a₁,a₂,a₃},{b₁,b₂},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄},{b₁,b₂,b₃},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄,a₅},{b₁,b₂,b₃,b₄},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄,a₅,a₆},{b₁,b₂,b₃,b₄,b₅},z]
HypergeometricPFQ[{a₁,...,a_p},{b₁,...,b_q},z]