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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==1 > Case {m,n,p,q}={1,3,3,3}





http://functions.wolfram.com/07.34.03.0545.01









  


  








Input Form





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