Meijer G-function: Specific values (formula 07.34.03.0223)

MeijerG

$Mathematica Notation$

Hypergeometric Functions

MeijerG[{{a₁,...,a_n},{a_n+1,...,a_p}},{{b₁,...,b_m},{b_m+1,...,b_q}},z]

Specific values

Specialized values

Cases with m==0

Case {m,n,p,q}={0,4,4,2}

http://functions.wolfram.com/07.34.03.0223.01

Input Form

MeijerG[{{a, c, c + 1/2, 2 c - a + 1}, {}}, {{}, {b, 2 c - b}}, z] == (2^(2 - 2 a + 2 c) Sqrt[Pi] z^(-1 + a) HypergeometricU[1 - a + b, 2 - 2 a + 2 c, 2/Sqrt[z]] HypergeometricU[1 - a - b + 2 c, 2 - 2 a + 2 c, 2/Sqrt[z]])/E^(2/Sqrt[z]) /; !IntervalMemberQ[Interval[{-Infinity, 0}], 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

MeijerG[{{a₁,...,a_n},{a_n+1,...,a_p}},{{b₁,...,b_m},{b_m+1,...,b_q}},z,r]