Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2448)

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=-11/2, a₂>=-11/2

For fixed z and a₁=-11/2, a₂=5, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=5, b₁=-5/2

http://functions.wolfram.com/07.25.03.2448.01

Input Form

HypergeometricPFQ[{-(11/2), 5}, {-(5/2), 6}, -z] == 3960/(323 z^5) + (1/(20349 z^5)) ((-249480 - 249480 z - 124740 z^2 - 41580 z^3 - 10395 z^4 + 18270 z^5 - 17304 z^6 + 20784 z^7 - 65232 z^8 - 30124 z^9 - 2584 z^10)/E^z) - (2 Sqrt[Pi] (39501 z^(7/2) + 15708 z^(9/2) + 1292 z^(11/2)) Erf[Sqrt[z]])/ 20349

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]