Regularized generalized hypergeometric function: Identities (formula 07.32.17.0016)

HypergeometricPFQRegularized

$Mathematica Notation$

Hypergeometric Functions

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

Identities

Functional identities

Relations of special kind

http://functions.wolfram.com/07.32.17.0016.01

Input Form

HypergeometricPFQRegularized[{Subscript[a, 1], \[Ellipsis], Subscript[a, p]}, {c, 1 - c, Subscript[b, 3], \[Ellipsis], Subscript[b, q]}, z] - HypergeometricPFQRegularized[{Subscript[a, 1], \[Ellipsis], Subscript[a, p]}, {-c, 1 + c, Subscript[b, 3], \[Ellipsis], Subscript[b, q]}, z] == 2 c HypergeometricPFQRegularized[ {Subscript[a, 1], \[Ellipsis], Subscript[a, p]}, {1 + c, 1 - c, Subscript[b, 3], \[Ellipsis], Subscript[b, q]}, z]

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]