Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.ao0z)

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=6, a₂>=6

For fixed z and a₁=6, a₂=6, b₁>=-11/2

For fixed z and a₁=6, a₂=6, b₁=1

http://functions.wolfram.com/07.25.03.ao0z.01

Input Form

HypergeometricPFQ[{6, 6}, {1, 11/2}, -z] == -((1/(5242880 z^4)) (21 (11025 + 1650 z + 1440 z^2 - 1440 z^3 - 212960 z^4 + 745920 z^5 - 558080 z^6 + 146944 z^7 - 15104 z^8 + 512 z^9))) + (1/(10485760 z^(9/2))) ((21 Sqrt[Pi] (11025 + 9000 z + 4500 z^2 + 36000 z^4 - 864000 z^5 + 1936000 z^6 - 1249280 z^7 + 308480 z^8 - 30720 z^9 + 1024 z^10) Erfi[Sqrt[z]])/E^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]