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

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=7/2, a₂>=7/2

For fixed z and a₁=7/2, a₂=6, b₁>=-11/2

For fixed z and a₁=7/2, a₂=6, b₁=-3/2

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

Input Form

HypergeometricPFQ[{7/2, 6}, {-(3/2), 3/2}, -z] == (1/5400) (5400 + 50400 z + 635040 z^2 - 2619540 z^3 + 2586870 z^4 - 1041885 z^5 + 201540 z^6 - 19592 z^7 + 912 z^8 - 16 z^9) + (1/10800) ((Sqrt[Pi] z^(5/2) (-2702700 + 7142850 z - 6055335 z^2 + 2267850 z^3 - 421800 z^4 + 40080 z^5 - 1840 z^6 + 32 z^7) Erfi[Sqrt[z]])/E^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]