Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.3934)

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=3, b_1`>=-11/2

For fixed z and a₁=3, b₁=-11/2

http://functions.wolfram.com/07.22.03.3934.01

Input Form

HypergeometricPFQ[{3}, {-(11/2), 6}, z] == (1/(1386 z^5)) (34459425 (1197 - 57 z + z^2) - 3 (13749310575 + 26843892075 z + 7868235375 z^2 + 808647840 z^3 + 36756720 z^4 + 743424 z^5 + 4864 z^6) Cosh[2 Sqrt[z]] + 2 Sqrt[z] (41247931725 + 25534433925 z + 4224725505 z^2 + 284864580 z^3 + 8751600 z^4 + 108672 z^5 + 256 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]