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Hypergeometric Functions
MeijerG[{{a1,...,an},{an+1,...,ap}},{{b1,...,bm},{bm+1,...,bq}},z]
Specific values
Specialized values
Cases with m==2
Case {m,n,p,q}={2,1,2,2}
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http://functions.wolfram.com/07.34.03.0745.01
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MeijerG[{{a}, {c}}, {{b, -1 + 2 a - b}, {}}, z] ==
((E^(I (1/2 - a + b) Pi) Sqrt[Pi] Csc[(a - b) Pi])/Gamma[-b + c])
z^(-(1/2) + a) (1 + z)^((1/4) (-1 - 2 a + 2 c))
LegendreQ[-(1/2) - a + c, -(1/2) + a - b, 3, (2 + z)/(2 Sqrt[1 + z])] /;
Re[z] >= 0
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MeijerG[{{a1,...,an},{an+1,...,ap}},{{b1,...,bm},{bm+1,...,bq}},z,r] | |
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