Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.0465)

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

HypergeometricPFQ[{a₁},{b₁,b₂},z]

Specific values

For integer and half-integer parameters and fixed z

For fixed z and a₁=-11/2, b_1`>=-11/2

For fixed z and a₁=-11/2, b₁=-3/2

http://functions.wolfram.com/07.22.03.0465.01

Input Form

HypergeometricPFQ[{-(11/2)}, {-(3/2), 4}, z] == (1/(103378275 z^(5/2))) (2 ((-BesselI[1, 2 Sqrt[z]]) (-58939650 - 3274425 z - 18711000 z^2 - 8927280 z^3 - 6923520 z^4 - 35622144 z^5 + 4811712 z^6 - 143360 z^7 + 1024 z^8 + 16 Pi z^(11/2) (-2297295 + 302940 z - 8976 z^2 + 64 z^3) StruveL[0, 2 Sqrt[z]]) + 2 Sqrt[z] BesselI[0, 2 Sqrt[z]] (-29469825 + 13097700 z + 7484400 z^2 + 4268160 z^3 + 8375040 z^4 - 37942272 z^5 + 4882752 z^6 - 143872 z^7 + 1024 z^8 + 8 Pi z^5 (-2297295 + 302940 z - 8976 z^2 + 64 z^3) StruveL[1, 2 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,a₂},{b₁},z]
HypergeometricPFQ[{a₁,a₂},{b₁,b₂},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]