Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.4553)

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/07.22.03.4553.01

Input Form

HypergeometricPFQ[{4}, {-(11/2), 7/2}, -z] == (1/(62370 z)) (-2 z (-31185 + 16560 z - 8160 z^2 + 1872 z^3 + 128 z^4) - 30 Pi Sqrt[z] (-10080 + 3780 z - 1017 z^2 - 17 z^3 + 4 z^4) StruveH[2, 2 Sqrt[z]] + 15 Pi (-60480 + 27720 z - 7740 z^2 + 333 z^3 + 52 z^4) StruveH[3, 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]