Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.0505)

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=-11/2, b_1`>=-11/2

For fixed z and a₁=-11/2, b₁=1/2

http://functions.wolfram.com/07.22.03.0505.01

Input Form

HypergeometricPFQ[{-(11/2)}, {1/2, 3/2}, z] == (1/(1382400 Sqrt[z])) (-2 Sqrt[z] (-535275 + 1389105 z - 401895 z^2 + 29376 z^3 - 658 z^4 + 4 z^5) Cosh[2 Sqrt[z]] + (155925 - 1111995 z + 375885 z^2 - 28740 z^3 + 654 z^4 - 4 z^5) Sinh[2 Sqrt[z]] + 8 z (-467775 + 779625 z - 207900 z^2 + 14850 z^3 - 330 z^4 + 2 z^5) SinhIntegral[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]