Meijer G-function: Specific values (formula 07.34.03.0544)

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/07.34.03.0544.01

Input Form

MeijerG[{{a, c, 2 a - c}, {}}, {{b}, {-(1/2) + a, 2 a - b - 1}}, z] == ((2 E^(2 I (a - c) Pi) Gamma[1 + b - c])/(Sqrt[Pi] Gamma[1 - 2 a + b + c])) z^(-1 + a) LegendreQ[-a + b, -a + c, 3, Sqrt[1 + 1/z]]^2 /; !IntervalMemberQ[Interval[{-1, 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]