Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.6204)

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=6, b_1`>=-11/2

For fixed z and a₁=6, b₁=11/2

http://functions.wolfram.com/07.22.03.6204.01

Input Form

HypergeometricPFQ[{6}, {11/2, 11/2}, z] == (1/(262144 z^(13/2))) (63 (4725 Pi (504 - 342 z + 129 z^2 - 40 z^3 + 16 z^4) StruveL[4, 2 Sqrt[z]] + 2 Sqrt[z] (32 z^2 (-2520 + 1290 z - 381 z^2 + 104 z^3 + 16 z^4) + 945 Pi (315 - 240 z + 105 z^2 - 40 z^3 + 16 z^4) StruveL[5, 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]