Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2367)

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=9/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=9/2, b₁=7/2

http://functions.wolfram.com/07.25.03.2367.01

Input Form

HypergeometricPFQ[{-(11/2), 9/2}, {7/2, 7/2}, z] == (1/(9633792 z^2)) (E^z (-31185 - 311850 z + 6354516 z^2 - 8227992 z^3 + 3446736 z^4 - 599264 z^5 + 44480 z^6 - 1152 z^7)) + (1/(19267584 z^(5/2))) (Sqrt[Pi] (31185 + 332640 z + 3492720 z^2 - 18627840 z^3 + 19404000 z^4 - 7451136 z^5 + 1241856 z^6 - 90112 z^7 + 2304 z^8) Erfi[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]