Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.4557)

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=4, b_1`>=-11/2

For fixed z and a₁=4, b₁=-11/2

http://functions.wolfram.com/07.22.03.4557.01

Input Form

HypergeometricPFQ[{4}, {-(11/2), 9/2}, -z] == (1/(124740 z^(3/2))) (4 z^(3/2) (31185 + 206640 z - 36960 z^2 + 3384 z^3 - 256 z^4) - 105 Pi Sqrt[z] (226800 - 50400 z + 5103 z^2 - 402 z^3 + 8 z^4) StruveH[3, 2 Sqrt[z]] + 105 Pi (907200 - 246960 z + 28980 z^2 - 2379 z^3 + 92 z^4) 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]