Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.af1g)

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=1, a₂>=1

For fixed z and a₁=1, a₂=7/2, b₁>=-11/2

For fixed z and a₁=1, a₂=7/2, b₁=-9/2

http://functions.wolfram.com/07.25.03.af1g.01

Input Form

HypergeometricPFQ[{1, 7/2}, {-(9/2), -(7/2)}, z] == (1/1488375) (1488375 + 330750 z + 170100 z^2 + 249480 z^3 + 2162160 z^4 - 64864800 z^5 - 404832960 z^6 - 486084480 z^7 - 219969792 z^8 - 45924864 z^9 - 4705280 z^10 - 227328 z^11 - 4096 z^12) - (1/1488375) (4096 E^z Sqrt[Pi] (40320 z^(11/2) + 141120 z^(13/2) + 141120 z^(15/2) + 58800 z^(17/2) + 11760 z^(19/2) + 1176 z^(21/2) + 56 z^(23/2) + z^(25/2)) 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]