Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.al43)

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=7/2, a₂>=7/2

For fixed z and a₁=7/2, a₂=4, b₁>=-11/2

For fixed z and a₁=7/2, a₂=4, b₁=-5/2

http://functions.wolfram.com/07.25.03.al43.01

Input Form

HypergeometricPFQ[{7/2, 4}, {-(5/2), -(5/2)}, -z] == (1/10125) (10125 - 22680 z + 113400 z^2 - 4989600 z^3 + 167721840 z^4 - 538686720 z^5 + 556178688 z^6 - 255974400 z^7 + 60328320 z^8 - 7709952 z^9 + 534336 z^10 - 18688 z^11 + 256 z^12) - (1/10125) ((32 Sqrt[Pi] (-926640 z^(7/2) + 9884160 z^(9/2) - 23067720 z^(11/2) + 20673360 z^(13/2) - 8839710 z^(15/2) + 1998072 z^(17/2) - 249003 z^(19/2) + 16986 z^(21/2) - 588 z^(23/2) + 8 z^(25/2)) 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]