Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.0942)

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=1, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=1, b₁=-5/2

http://functions.wolfram.com/07.25.03.0942.01

Input Form

HypergeometricPFQ[{-(11/2), 1}, {-(5/2), 6}, -z] == (51480 - 72072 z + 52668 z^2 - 27132 z^3 + 11305 z^4)/(4199 z^5) - (1/(1322685 z^5)) ((8 (2027025 - 810810 z + 249480 z^2 - 75600 z^3 + 25200 z^4 - 10080 z^5 + 5376 z^6 - 4608 z^7 + 11520 z^8 + 2624 z^9 + 128 z^10))/E^z) - (256 Sqrt[Pi] (399 z^(7/2) + 84 z^(9/2) + 4 z^(11/2)) Erf[Sqrt[z]])/1322685

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]