Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.1158)

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=-7/2, b_1`>=-11/2

For fixed z and a₁=-7/2, b₁=-3/2

http://functions.wolfram.com/07.22.03.1158.01

Input Form

HypergeometricPFQ[{-(7/2)}, {-(3/2), 6}, -z] == (1/(6891885 z^(9/2))) (8 (BesselJ[1, 2 Sqrt[z]] (340540200 - 229209750 z - 893025 z^2 - 837900 z^3 + 126000 z^4 - 27072 z^5 + 14080 z^6 - 60416 z^7 - 2048 z^8 + 512 Pi z^(15/2) (119 + 4 z) StruveH[0, 2 Sqrt[z]]) - 2 Sqrt[z] BesselJ[0, 2 Sqrt[z]] (170270100 - 29469825 z - 992250 z^2 + 176400 z^3 - 30240 z^4 + 9984 z^5 - 14848 z^6 - 61440 z^7 - 2048 z^8 + 256 Pi z^7 (119 + 4 z) StruveH[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]