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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}={1,2,4,2}





http://functions.wolfram.com/07.34.03.0500.01









  


  










Input Form





MeijerG[{{a, 2 b - a + 1}, {a - 1/2, 3/2 - a + 2 b}}, {{b}, {b + 1/2}}, z] == (Csc[(a - b) Pi]/Sqrt[2]) z^(-(1/4) + b) (BesselJ[3/2 - 2 a + 2 b, 1/Sqrt[z]] Cos[1/Sqrt[z]] + BesselJ[-(3/2) + 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