Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1383)

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=2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=2, b₁=5/2

http://functions.wolfram.com/07.25.03.1383.01

Input Form

HypergeometricPFQ[{-(11/2), 2}, {5/2, 6}, z] == (4 (120 + 378 z + 798 z^2 + 2261 z^3))/(29393 z^5) + (1/(296281440 z^5)) (E^z (-4838400 - 10402560 z - 19353600 z^2 - 65802240 z^3 - 53531415 z^4 + 139071240 z^5 - 65387532 z^6 + 12728640 z^7 - 1181328 z^8 + 51328 z^9 - 832 z^10)) + (1/(592562880 z^(3/2))) (Sqrt[Pi] (130945815 + 203693490 z - 333316620 z^2 + 142443000 z^3 - 26589360 z^4 + 2413152 z^5 - 103488 z^6 + 1664 z^7) 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

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]