Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.aes7)

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=1, a₂>=1

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

For fixed z and a₁=1, a₂=5/2, b₁=-9/2

http://functions.wolfram.com/07.25.03.aes7.01

Input Form

HypergeometricPFQ[{1, 5/2}, {-(9/2), -(7/2)}, -z] == (1/297675) (297675 - 47250 z + 18900 z^2 - 22680 z^3 + 166320 z^4 + 4324320 z^5 - 22599360 z^6 + 22323840 z^7 - 8017152 z^8 + 1248768 z^9 - 84992 z^10 + 2048 z^11) - (1/297675) ((2048 Sqrt[Pi] (5040 z^(11/2) - 15120 z^(13/2) + 12600 z^(15/2) - 4200 z^(17/2) + 630 z^(19/2) - 42 z^(21/2) + z^(23/2)) 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]