Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.5901)

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/07.22.03.5901.01

Input Form

HypergeometricPFQ[{6}, {-(11/2), 11/2}, -z] == (1/(19958400 z^2)) (-128 z^2 (-155925 + 113400 z - 30240 z^2 + 2100 z^3 - 222 z^4 + 16 z^5) + 1890 Pi Sqrt[z] (1587600 - 332640 z + 34020 z^2 - 2595 z^3 + 280 z^4 + 16 z^5) StruveH[4, 2 Sqrt[z]] - 4725 Pi (3175200 - 771120 z + 87696 z^2 - 7035 z^3 + 696 z^4 + 16 z^5) StruveH[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]