Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.af0p)

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`=-11/2

http://functions.wolfram.com/07.22.03.af0p.01

Input Form

HypergeometricPFQ[{17/4}, {-(11/2), -(23/4)}, -z] == (1/9207994170375) ((9207994170375 - 19653426292500 z + 8765504748000 z^2 - 1971500731200 z^3 + 324371174400 z^4 - 56760238080 z^5 + 32204390400 z^6 - 19063111680 z^7 + 67108864 z^8) Cos[2 Sqrt[z]] + 2 Sqrt[z] (9207994170375 - 7376100732000 z + 2204657254800 z^2 - 407350944000 z^3 + 64911974400 z^4 - 14491975680 z^5 - 32039239680 z^6 + 989855744 z^7) Sin[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]