Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.al2i)

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=7/2, a₂>=7/2

For fixed z and a₁=7/2, a₂=4, b₁>=-11/2

For fixed z and a₁=7/2, a₂=4, b₁=-11/2

http://functions.wolfram.com/07.25.03.al2i.01

Input Form

HypergeometricPFQ[{7/2, 4}, {-(11/2), 11/2}, -z] == (1/(495 z^4)) (-762048000 - 243129600 z - 72576000 z^2 - 17055360 z^3 - 3268305 z^4 - 526680 z^5 - 73080 z^6 - 8880 z^7 - 948 z^8 - 78 z^9 + 32 z^10 - 8 z^11) + (1/(495 z^(9/2))) ((Sqrt[Pi] (381024000 + 375580800 z + 185068800 z^2 + 60782400 z^3 + 14968800 z^4 + 2948400 z^5 + 483840 z^6 + 68040 z^7 + 8370 z^8 + 915 z^9 + 90 z^10 - 36 z^11 + 8 z^12) 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

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]