Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.5541)

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=-11/2

http://functions.wolfram.com/07.22.03.5541.01

Input Form

HypergeometricPFQ[{11/2}, {-(11/2), 1}, -z] == (1/9823275) (-3 (-3274425 - 5953500 z + 5292000 z^2 + 1680000 z^3 + 121600 z^4 + 13312 z^5) BesselJ[0, 2 Sqrt[z]] + 2 Sqrt[z] (893025 + 17860500 z + 1764000 z^2 - 624000 z^3 - 80640 z^4 + 1024 z^5) BesselJ[1, 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]