Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1381)

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=2, b₁>=-11/2

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

http://functions.wolfram.com/07.25.03.1381.01

Input Form

HypergeometricPFQ[{-(11/2), 2}, {5/2, 5}, z] == (12 (18 + 76 z + 323 z^2))/(20995 z^4) + (1/(141086400 z^4)) (E^z (-1451520 - 4677120 z - 20643840 z^2 - 20424285 z^3 + 70825860 z^4 - 39991644 z^5 + 9041376 z^6 - 953968 z^7 + 46400 z^8 - 832 z^9)) + (1/(282172800 z^(3/2))) (Sqrt[Pi] (43648605 + 87297210 z - 174594420 z^2 + 88179000 z^3 - 18992400 z^4 + 1953504 z^5 - 93632 z^6 + 1664 z^7) 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]