Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1033)

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=1, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=1, b₁=3

http://functions.wolfram.com/07.25.03.1033.01

Input Form

HypergeometricPFQ[{-(11/2), 1}, {3, 11/2}, z] == (6 (-7 + 15 z))/(65 z^2) + (1/(1533542400 z^4)) (E^z (-6081075 - 36486450 z + 651445200 z^2 - 935431200 z^3 + 490485600 z^4 - 122266560 z^5 + 15939840 z^6 - 1104384 z^7 + 38144 z^8 - 512 z^9)) + (1/(3067084800 z^(9/2))) (Sqrt[Pi] (6081075 + 40540500 z + 364864500 z^2 - 1945944000 z^3 + 2270268000 z^4 - 1089728640 z^5 + 259459200 z^6 - 32947200 z^7 + 2246400 z^8 - 76800 z^9 + 1024 z^10) 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]