Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.5293)

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=5, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=5, b₁=3/2

http://functions.wolfram.com/07.25.03.5293.01

Input Form

HypergeometricPFQ[{-(9/2), 5}, {3/2, 6}, z] == 840/(46189 z^5) + (1/(17736576 z^5)) (E^z (-322560 + 322560 z - 161280 z^2 + 53760 z^3 - 13440 z^4 + 12889419 z^5 - 19164684 z^6 + 7299864 z^7 - 958672 z^8 + 38896 z^9)) + (1/(35473152 Sqrt[z])) (Sqrt[Pi] (4849845 - 39680550 z + 44767800 z^2 - 15519504 z^3 + 1956240 z^4 - 77792 z^5) 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]