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variants of this functions
MeijerG




Mathematica Notation

Traditional Notation









Hypergeometric Functions > MeijerG[{{a1,...,an},{an+1,...,ap}},{{b1,...,bm},{bm+1,...,bq}},z] > Specific values > Specialized values > Cases with m==3 > Case {m,n,p,q}={3,1,3,3}





http://functions.wolfram.com/07.34.03.1033.01









  


  








Input Form





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