Regularized generalized hypergeometric function: Specific values (formula 07.32.03.0150)

HypergeometricPFQRegularized

$Mathematica Notation$

Hypergeometric Functions

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

Specific values

Specialized values

Case ₅F^~₇

http://functions.wolfram.com/07.32.03.0150.01

Input Form

HypergeometricPFQRegularized[{2, 2, c, c, c, 2 - c, 2 - c, 2 - c}, {1, c + 1, c + 1, c + 1, 3 - c, 3 - c, 3 - c}, -1] == (Sin[c Pi]^3/(16 (-1 + c)^6 Pi^2)) (-Csc[Pi c] + Pi (1 - c) Cos[Pi c] Csc[Pi c]^2 + Pi^2 (1 - c)^2 (1 + Cos[Pi c]^2) Csc[Pi c]^3) /; 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

HypergeometricPFQRegularized[{},{b},z]
HypergeometricPFQRegularized[{a₁},{b₁},z]
HypergeometricPFQRegularized[{a₁,a₂},{b₁},z]