Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1377)

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/07.25.03.1377.01

Input Form

HypergeometricPFQ[{-(11/2), 2}, {5/2, 3}, z] == 2/(65 z^2) + (1/(20966400 z^2)) (E^z (-645120 - 1381905 z + 12535740 z^2 - 11789820 z^3 + 3935520 z^4 - 571824 z^5 + 36544 z^6 - 832 z^7)) + (1/(41932800 z^(3/2))) (Sqrt[Pi] (2027025 + 9459450 z - 34054020 z^2 + 27027000 z^3 - 8408400 z^4 + 1179360 z^5 - 73920 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]