Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.3805)

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=-9/2, a₂>=-9/2

For fixed z and a₁=-9/2, a₂=1, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=1, b₁=9/2

http://functions.wolfram.com/07.25.03.3805.01

Input Form

HypergeometricPFQ[{-(9/2), 1}, {9/2, 6}, z] == (35 (-24 - 456 z + 3876 z^2 - 6460 z^3 + 4199 z^4))/(46189 z^5) + (1/(141892608 z^5)) (E^z (2580480 + 46448640 z - 246243375 z^2 + 291538170 z^3 - 140332500 z^4 + 33300696 z^5 - 4203472 z^6 + 284640 z^7 - 9664 z^8 + 128 z^9)) + (1/(283785216 z^(7/2))) (Sqrt[Pi] (-218243025 + 698377680 z - 698377680 z^2 + 310390080 z^3 - 70543200 z^4 + 8682240 z^5 - 578816 z^6 + 19456 z^7 - 256 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]
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