Meijer G-function: Specific values (formula 07.34.03.0752)

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}={2,1,2,2}

http://functions.wolfram.com/07.34.03.0752.01

Input Form

MeijerG[{{a}, {c}}, {{b, -(3/2) + a - b + c}, {}}, z] == ((2^(5/2 - a + 2 b - c) E^(I (3/2 - a + 2 b - c) Pi) Gamma[1 - a + b])/ Gamma[-b + c]) z^((1/2) (-(3/2) + a + c)) LegendreQ[-(1/2) - a + c, -(3/2) + a - 2 b + c, 3, Sqrt[1 + z]] /; !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]