Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2921)

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=6, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=6, b₁=2

http://functions.wolfram.com/07.25.03.2921.01

Input Form

HypergeometricPFQ[{-(11/2), 6}, {2, 11/2}, -z] == (1/(8053063680 z^4)) ((1091475 + 2598750 z + 7151760 z^2 + 74178720 z^3 + 5900877600 z^4 + 11400763200 z^5 + 6238767360 z^6 + 1329736192 z^7 + 116507392 z^8 + 3472896 z^9)/E^z) + (1/(16106127360 z^(9/2))) (Sqrt[Pi] (-1091475 - 1871100 z - 5613300 z^2 - 69854400 z^3 + 2200413600 z^4 + 19363639680 z^5 + 27969701760 z^6 + 13699445760 z^7 + 2772506880 z^8 + 236487680 z^9 + 6945792 z^10) Erf[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]