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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/03.01.26.0132.01









  


  








Input Form





BesselJ[\[Nu], z] Hypergeometric0F1Regularized[-\[Nu], -(z^2/4)] == (-(2^(-1 - \[Nu])/Pi)) (Sqrt[Pi] MeijerG[{{(1 + \[Nu])/2, (2 + \[Nu])/2}, {}}, {{(2 + \[Nu])/2}, {-(\[Nu]/2), \[Nu]/2, 1 + (3 \[Nu])/2}}, z^2] + 2 z^\[Nu] Sin[Pi \[Nu]]) /; Inequality[-(Pi/2), Less, Arg[z], LessEqual, Pi/2]








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