Regularized generalized hypergeometric function: Specific values (formula 07.32.03.0100)

HypergeometricPFQRegularized

$Mathematica Notation$

Hypergeometric Functions

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

Specific values

Specialized values

Case ₀F^~₃

http://functions.wolfram.com/07.32.03.0100.01

Input Form

HypergeometricPFQRegularized[{}, {1/2, b, 2 - b}, z] + Sqrt[-z] Tan[b Pi] HypergeometricPFQRegularized[{}, {3/2, b + 1/2, 5/2 - b}, z] == (-(Sec[b Pi]/Sqrt[Pi])) Hypergeometric0F1Regularized[2 b - 1, -2 Sqrt[-z]] Hypergeometric0F1Regularized[3 - 2 b, 2 Sqrt[-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]