Meijer G-function: Specific values (formula 07.34.03.0990)

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==3

Case {m,n,p,q}={3,1,2,4}

http://functions.wolfram.com/07.34.03.0990.01

Input Form

MeijerG[{{a}, {c}}, {{b, (a + c - 1)/2, (a + c)/2}, {-1 + a - b + c}}, z] == (((2^(2 - a + 2 b - c) Sqrt[Pi] Gamma[1 - a + b])/Gamma[2 - a + 2 b - c]) z^b Hypergeometric1F1[1 + b - c, 2 - a + 2 b - c, 2 Sqrt[z]] HypergeometricU[1 - a + b, 2 - a + 2 b - c, 2 Sqrt[z]])/E^(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

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