Meijer G-function: Specific values (formula 07.34.03.0899)

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==2

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

http://functions.wolfram.com/07.34.03.0899.01

Input Form

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