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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/07.34.03.1021.01









  


  








Input Form





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