Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2154)

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=4, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=4, b₁=7/2

http://functions.wolfram.com/07.25.03.2154.01

Input Form

HypergeometricPFQ[{-(11/2), 4}, {7/2, 6}, z] == -((120 (4 + 7 z))/(29393 z^5)) + (1/(15169609728 z^5)) (E^z (247726080 + 185794560 z - 309657600 z^2 - 741148065 z^3 - 1545984090 z^4 + 8190192276 z^5 - 5382187608 z^6 + 1332734160 z^7 - 149631456 z^8 + 7616960 z^9 - 141440 z^10)) + (1/(30339219456 z^(5/2))) (Sqrt[Pi] (916620705 + 2095133040 z + 8147739600 z^2 - 20739700800 z^3 + 11965212000 z^4 - 2807836416 z^5 + 306738432 z^6 - 15375360 z^7 + 282880 z^8) 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]