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BesselJ




Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselJ[nu,z] > Representations through more general functions > Through Meijer G > Classical cases involving 0F~1





http://functions.wolfram.com/03.01.26.0137.01









  


  








Input Form





BesselJ[\[Nu], 2 Sqrt[z]] Hypergeometric0F1Regularized[b, -z] == (1/Sqrt[Pi]) 2^(-1 + b) MeijerG[{{(1 - b)/2, 1 - b/2}, {}}, {{\[Nu]/2}, {-(\[Nu]/2), 1 - b + \[Nu]/2, 1 - b - \[Nu]/2}}, 4 z] /; !(Element[-b - \[Nu], Integers] && -b - \[Nu] >= 0)








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)





2007-05-02