Meijer G-function: Specific values (formula 07.34.03.0532)

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==1

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

http://functions.wolfram.com/07.34.03.0532.01

Input Form

MeijerG[{{a, c, d}, {}}, {{b}, {-1 + a, -1 + d}}, z] == ((z^b Gamma[1 + b - c])/((1 - a + b) (a - d) (1 + b - d))) ((1 + b - d) Hypergeometric2F1[1 - a + b, 1 + b - c, 2 - a + b, -z] - (1 - a + b) Hypergeometric2F1[1 + b - d, 1 + b - c, 2 + b - 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

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