Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.al26)

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.al26.01

Input Form

HypergeometricPFQ[{7/2, 4}, {-(11/2), 3/2}, -z] == (1/467775) (467775 + 793800 z + 793800 z^2 + 712800 z^3 + 720720 z^4 + 1048320 z^5 + 4112640 z^6 - 3720960 z^7 + 1039680 z^8 - 124896 z^9 + 6656 z^10 - 128 z^11) + (16 Sqrt[Pi] z^(13/2) (-348840 + 261630 z - 68685 z^2 + 8010 z^3 - 420 z^4 + 8 z^5) Erfi[Sqrt[z]])/(E^z 467775)

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]