Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2952)

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=6, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=6, b₁=4

http://functions.wolfram.com/07.25.03.2952.01

Input Form

HypergeometricPFQ[{-(11/2), 6}, {4, 11/2}, -z] == (1/(5033164800 z^4)) ((1091475 + 10083150 z - 77671440 z^2 + 295716960 z^3 + 3043877280 z^4 + 2904152640 z^5 + 971569920 z^6 + 141016576 z^7 + 8993536 z^8 + 204288 z^9)/E^z) + (1/(10066329600 z^(9/2))) (Sqrt[Pi] (-1091475 - 9355500 z + 84199500 z^2 - 349272000 z^3 + 2200413600 z^4 + 8298702720 z^5 + 6659452800 z^6 + 2075673600 z^7 + 290822400 z^8 + 18191360 z^9 + 408576 z^10) 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]