Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2362)

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=9/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=9/2, b₁=5/2

http://functions.wolfram.com/07.25.03.2362.01

Input Form

HypergeometricPFQ[{-(11/2), 9/2}, {5/2, 11/2}, z] == (1/(275251200 z^4)) (E^z (-1091475 + 727650 z - 291060 z^2 - 9896040 z^3 + 177103920 z^4 - 200555040 z^5 + 74402880 z^6 - 11594624 z^7 + 779264 z^8 - 18432 z^9)) + (1/(550502400 z^(9/2))) (Sqrt[Pi] (1091475 + 9979200 z^3 + 104781600 z^4 - 502951680 z^5 + 465696000 z^6 - 159667200 z^7 + 23950080 z^8 - 1576960 z^9 + 36864 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]