Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.1864)

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=-3/2, b_1`>=-11/2

For fixed z and a₁=-3/2, b₁=-1/2

http://functions.wolfram.com/07.22.03.1864.01

Input Form

HypergeometricPFQ[{-(3/2)}, {-(1/2), 5}, -z] == (1/(3465 z^(7/2))) (8 (-2 BesselJ[1, 2 Sqrt[z]] (-8505 + 5040 z + 225 z^2 - 36 z^3 + 16 z^4 - 64 z^5 + 64 Pi z^(11/2) StruveH[0, 2 Sqrt[z]]) + Sqrt[z] BesselJ[0, 2 Sqrt[z]] (-17010 + 1575 z - 180 z^2 + 48 z^3 - 64 z^4 - 256 z^5 + 128 Pi z^5 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]