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BesselI






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/03.02.26.0104.01









  


  










Input Form





BesselI[\[Nu], 2 Sqrt[z]] Hypergeometric0F1[-1 - \[Nu], z] == ((2^(-(3/2) - \[Nu]) Gamma[-1 - \[Nu]])/Pi) ((-Pi^(3/2)) MeijerG[{{(2 + \[Nu])/2, (3 + \[Nu])/2}, {(1/4) (5 + 2 \[Nu])}}, {{(4 + \[Nu])/2}, {-(\[Nu]/2), \[Nu]/2, 2 + (3 \[Nu])/2, (1/4) (5 + 2 \[Nu])}}, 4 z] + 2^(3/2 + \[Nu]) z^(\[Nu]/2) (1 + \[Nu]) Sin[Pi \[Nu]])










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