Generalized hypergeometric function: Specific values (formula 07.31.03.0150)

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

HypergeometricPFQ[{a₁,...,a_p},{b₁,...,b_q},z]

Specific values

Specialized values

Case ₈F₇

http://functions.wolfram.com/07.31.03.0150.01

Input Form

HypergeometricPFQ[{2, 2, c, c, c, 2 - c, 2 - c, 2 - c}, {1, 1 + c, 1 + c, 1 + c, 3 - c, 3 - c, 3 - c}, 1] == ((Pi c^3 (2 - c)^3)/(16 (c - 1)^3)) (Cot[Pi c] - Pi (1 - c) Csc[Pi c]^2 - 2 Pi^2 (1 - c)^2 Cot[Pi c] Csc[Pi c]^2) /; c != 1

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,a₂,a₃,a₄,a₅,a₆},{b₁,b₂,b₃,b₄,b₅},z]