Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.afco)

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

HypergeometricPFQ[{a₁},{b₁,b₂},z]

Specific values

For rational parameters with larger denominators and fixed z

For fixed z and a₁=17/4, b_1`>=-11/2

For fixed z and a₁=17/4, b_1`=7/2

http://functions.wolfram.com/07.22.03.afco.01

Input Form

HypergeometricPFQ[{17/4}, {7/2, -(23/4)}, z] == (1/(1889727840 z^(5/2))) (-26 Sqrt[z] (-3459196125 - 2795310000 z - 1045578240 z^2 - 288645120 z^3 - 14745600 z^4 + 1048576 z^5) Cosh[2 Sqrt[z]] + (-44969549625 - 96298429500 z - 45110520000 z^2 - 15875758080 z^3 - 2396160000 z^4 + 30670848 z^5 + 4194304 z^6) Sinh[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]