Regularized hypergeometric function 2F1: Specific values (formula 07.24.03.0075)

Hypergeometric2F1Regularized

$Mathematica Notation$

Hypergeometric Functions

Hypergeometric2F1Regularized[a,b,c,z]

Specific values

Values at other z

Values at z==e^{+-Pi i/3}

http://functions.wolfram.com/07.24.03.0075.01

Input Form

Hypergeometric2F1Regularized[a, (a + 1)/3, 2 ((a + 1)/3), Exp[-((Pi I)/3)]] == 3^(a/2 - 1) (Gamma[a/3]/(Gamma[2/3] Gamma[a])) Exp[-((Pi a I)/6)]

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,...,a_p},{b₁,...,b_q},z]