Meijer G-function: Specific values (formula 07.34.03.0012)

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 arbitrary {m,n,p,q}

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

http://functions.wolfram.com/07.34.03.0012.01

Input Form

MeijerG[{{0, Subscript[a, 2], \[Ellipsis], Subscript[a, p]}, {}}, {{0}, {-1, Subscript[b, 2], \[Ellipsis], Subscript[b, q]}}, z] == (Product[Gamma[-Subscript[a, j]], {j, 2, p}]/ (z Product[Gamma[-Subscript[b, j]], {j, 2, q}])) (1 - HypergeometricPFQ[{-Subscript[a, 2], \[Ellipsis], -Subscript[a, p]}, {-Subscript[b, 2], \[Ellipsis], -Subscript[b, q]}, -z])

Standard Form

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MathML 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]