Regularized generalized hypergeometric function: Specific values (formula 07.32.03.0140)

HypergeometricPFQRegularized

$Mathematica Notation$

Hypergeometric Functions

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

Specific values

Specialized values

Case ₇F^~₆

http://functions.wolfram.com/07.32.03.0140.01

Input Form

HypergeometricPFQRegularized[{1, b, b, b, 2 - b, 2 - b, 2 - b}, {1 + b, 1 + b, 1 + b, 3 - b, 3 - b, 3 - b}, 1] == (Sin[b Pi]^3/(16 (1 - b)^9 Pi^3)) (8 - 3 Pi^2 (1 - b)^2 Csc[Pi b]^2 + 3 Pi (1 - b) Cot[Pi b] + 2 Pi^3 (1 - b)^3 Cos[Pi b] Csc[Pi b]^3) /; b != 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]