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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==2 > Case {m,n,p,q}={2,3,4,2}





http://functions.wolfram.com/07.34.03.0945.01









  


  










Input Form





MeijerG[{{a, 1/2 + a, 1/2 - a + 2 b}, {1 - a + 2 b}}, {{b, 1/2 + b}, {}}, z] == Sqrt[2] Pi^2 z^(-(1/4) + b) Csc[2 (a - b) Pi] (BesselJ[1/2 - 2 a + 2 b, 1/Sqrt[z]] Cos[1/Sqrt[z]] + BesselY[1/2 - 2 a + 2 b, 1/Sqrt[z]] Sin[1/Sqrt[z]]) /; !IntervalMemberQ[Interval[{-Infinity, 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