Generalized hypergeometric function 6F5: Specific values (formula 07.30.03.0004)

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

HypergeometricPFQ[{a₁,a₂,a₃,a₄,a₅,a₆},{b₁,b₂,b₃,b₄,b₅},z]

Specific values

Values at z=1

For fixed a₃, a₄

http://functions.wolfram.com/07.30.03.0004.01

Input Form

HypergeometricPFQ[{-n, 1 - n/3, c, d, 1 - 2 c - 2 d - n, 1/2 - c - d - n}, {-(n/3), 1 - 2 c - n, 1 - 2 d - n, 1 - c - d - n, c + d + 1/2}, 1] == 0 /; Element[n, Integers] && n > 0 && Floor[(n + 1)/3] == Floor[(n + 2)/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},{b₁,b₂,b₃},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄,a₅},{b₁,b₂,b₃,b₄},z]
HypergeometricPFQ[{a₁,...,a_p},{b₁,...,b_q},z]