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BesselJ






Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselJ[nu,z] > Representations through more general functions > Through Meijer G > Generalized cases involving 0F1





http://functions.wolfram.com/03.01.26.0097.01









  


  










Input Form





BesselJ[\[Nu], z] Hypergeometric0F1[b, -(z^2/4)] == (Gamma[b]/Sqrt[Pi]) 2^(-1 + b) MeijerG[{{(1 - b)/2, 1 - b/2}, {}}, {{\[Nu]/2}, {-(\[Nu]/2), 1 - b + \[Nu]/2, 1 - b - \[Nu]/2}}, z, 1/2] /; !(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)





2001-10-29