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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}={1,1,1,3}





http://functions.wolfram.com/07.34.03.0304.01









  


  








Input Form





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