Regularized generalized hypergeometric function: Transformations (formula 07.32.16.0003)

HypergeometricPFQRegularized

$Mathematica Notation$

Hypergeometric Functions

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

Transformations

Products, sums, and powers of the direct function

Products of the direct function

http://functions.wolfram.com/07.32.16.0003.01

Input Form

HypergeometricPFQRegularized[{Subscript[a, 1], \[Ellipsis], Subscript[a, p]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, c z] HypergeometricPFQRegularized[{Subscript[\[Alpha], 1], \[Ellipsis], Subscript[\[Alpha], r]}, {Subscript[\[Beta], 1], \[Ellipsis], Subscript[\[Beta], s]}, d z] == HypergeometricPFQRegularized[ {{}, {Subscript[a, 1], \[Ellipsis], Subscript[a, p]}, {Subscript[\[Alpha], 1], \[Ellipsis], Subscript[\[Alpha], r]}}, {{}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, {Subscript[\[Beta], 1], \[Ellipsis], Subscript[\[Beta], s]}}, c z, d 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]