Regularized generalized hypergeometric function: Specific values (formula 07.32.03.0137)

HypergeometricPFQRegularized

$Mathematica Notation$

Hypergeometric Functions

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

Specific values

Specialized values

Case ₇F^~₆

http://functions.wolfram.com/07.32.03.0137.01

Input Form

HypergeometricPFQRegularized[{-n, b, c, b/2 + 1, c + 1/2, b - 2 c, 2 b - 2 c + n + 1}, {b/2, 1 + b - c, 1/2 + b - c, 1 + 2 c, 2 c - b - n, 1 + b + n}, 1] == -(4^c Gamma[1 + 2 b - 4 c + n] Sin[(b - 2 c + n) Pi])/ (Pi Gamma[b/2] Gamma[1 + b] Gamma[1/2 + b - 2 c] Gamma[1 + 2 c] Gamma[1 + 2 b - 2 c + n]) /; Element[n, Integers] && n >= 0

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]