Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.ao1d)

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=2

http://functions.wolfram.com/07.25.03.ao1d.01

Input Form

HypergeometricPFQ[{6, 6}, {2, 5/2}, -z] == (1/(4915200 z)) (-11025 + 4018500 z - 17678880 z^2 + 20853840 z^3 - 9933280 z^4 + 2232768 z^5 - 248320 z^6 + 13056 z^7 - 256 z^8) + (1/(9830400 z^(3/2))) ((Sqrt[Pi] (11025 + 904050 z - 17110800 z^2 + 50074080 z^3 - 49919520 z^4 + 21881280 z^5 - 4701440 z^6 + 509440 z^7 - 26368 z^8 + 512 z^9) 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]