Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.4143)

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=2, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=2, b₁=5/2

http://functions.wolfram.com/07.25.03.4143.01

Input Form

HypergeometricPFQ[{-(9/2), 2}, {5/2, 4}, -z] == (6 (-2 + 15 z))/(715 z^3) + (1/(2745600 z^3)) ((46080 - 299520 z + 353115 z^2 + 1409310 z^3 + 785160 z^4 + 157584 z^5 + 12784 z^6 + 352 z^7)/E^z) + (1/(5491200 z^(3/2))) (Sqrt[Pi] (-675675 + 1621620 z + 3474900 z^2 + 1716000 z^3 + 327600 z^4 + 25920 z^5 + 704 z^6) 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]