Regularized generalized hypergeometric function: Specific values (formula 07.32.03.0138)

HypergeometricPFQRegularized

$Mathematica Notation$

Hypergeometric Functions

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

Specific values

Specialized values

Case ₇F^~₆

http://functions.wolfram.com/07.32.03.0138.01

Input Form

HypergeometricPFQRegularized[{-n, 1, 3/2, d, e, 1 - d, 1 - e}, {1/2, 2 + n, 1 + d, 2 - d, 1 + e, 2 - e}, 1] == ((-1)^n n! (Gamma[-e - n] Gamma[2 - d + n] - Gamma[-d - n] Gamma[2 - e + n]) Sin[d Pi] Sin[e Pi])/ ((d - e) (-1 + d + e) Pi^(5/2) Gamma[2 - d + n] Gamma[2 - e + 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]