Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.alq8)

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=6, b₁>=-11/2

For fixed z and a₁=7/2, a₂=6, b₁=-7/2

http://functions.wolfram.com/07.25.03.alq8.01

Input Form

HypergeometricPFQ[{7/2, 6}, {-(7/2), -(1/2)}, z] == (1/23625) (23625 + 283500 z - 3572100 z^2 + 23284800 z^3 - 272432160 z^4 - 1171170000 z^5 - 1334751600 z^6 - 673610040 z^7 - 178644840 z^8 - 26842858 z^9 - 2342760 z^10 - 116560 z^11 - 3040 z^12 - 32 z^13) + (1/23625) (E^z Sqrt[Pi] (-581981400 z^(9/2) - 1640129400 z^(11/2) - 1607164020 z^(13/2) - 751963380 z^(15/2) - 191027235 z^(17/2) - 27959610 z^(19/2) - 2399560 z^(21/2) - 118064 z^(23/2) - 3056 z^(25/2) - 32 z^(27/2)) Erf[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]