Generalized Meijer G-function: Specific values (formula 07.35.03.0087)

MeijerG

$Mathematica Notation$

Hypergeometric Functions

MeijerG[{{a₁,...,a_n},{a_n+1,...,a_p}},{{b₁,...,b_m},{b_m+1,...,b_q}},z,r]

Specific values

Specialized values

Case {m,n,p,q}={2,0,2,2}

http://functions.wolfram.com/07.35.03.0087.01

Input Form

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