Generalized hypergeometric function 4F3: Specific values (formula 07.28.03.0073)

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

HypergeometricPFQ[{a₁,a₂,a₃,a₄},{b₁,b₂,b₃},z]

Specific values

Specialized values

For fixed a₁, a₂, z

http://functions.wolfram.com/07.28.03.0073.01

Input Form

HypergeometricPFQ[{a, b, (2 a)/3 + 1, a - b + 1/2}, {(2 a)/3, 2 b, 2 a - 2 b + 1}, z] == ((2^(2 a - 1) (8 + z))/(4 - z)^(a + 1)) HypergeometricPFQ[ {(a + 1)/3, (a + 2)/3, a/3 + 1}, {b + 1/2, a - b + 1}, (27 z^2)/(4 - z)^3]

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)

2001-10-29

HypergeometricPFQ[{},{},z]
HypergeometricPFQ[{},{b},z]
HypergeometricPFQ[{a},{},z]
HypergeometricPFQ[{a},{b},z]
HypergeometricPFQ[{a₁},{b₁,b₂},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,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]