Meijer G-function: Specific values (formula 07.34.03.0331)

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}={1,1,2,2}

http://functions.wolfram.com/07.34.03.0331.01

Input Form

MeijerG[{{a}, {c}}, {{b}, {a + b - c}}, z] == ((Gamma[1 - a + b] ((1 - z) Sign[1 - Abs[z]])^(-1 - b + c))/Gamma[-b + c]) z^(b + (a - c)/2) LegendreP[-1 - b + c, a - c, 3, (1 + z)/((1 - z) Sign[1 - Abs[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]