Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.3335)

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=2, b_1`>=-11/2

For fixed z and a₁=2, b₁=-9/2

http://functions.wolfram.com/07.22.03.3335.01

Input Form

HypergeometricPFQ[{2}, {-(9/2), 9/2}, -z] == (1/(945 z^(3/2))) (z^(3/2) (945 + 29960 z - 2640 z^2 + 32 z^3) - 105 Pi Sqrt[z] (8400 - 1050 z + 29 z^2) StruveH[3, 2 Sqrt[z]] - 210 Pi (-16800 + 2940 z - 135 z^2 + z^3) StruveH[4, 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]