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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/07.34.03.1012.01









  


  








Input Form





MeijerG[{{a}, {c, -1 - a + 2 c}}, {{b, -1 - b + 2 c, -(1/2) + c}, {}}, z] == ((Sqrt[2] E^(I (-(1/2) - b + c) Pi) Gamma[-a - b + 2 c])/Sqrt[1 + z]) z^(-(3/4) + c) LegendreP[b - c, 1 + a - c, 3, Sqrt[1 + 1/z]] LegendreQ[-(1/2) - a + c, 1/2 + 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