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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 Bessel Y





http://functions.wolfram.com/03.01.26.0091.01









  


  








Input Form





BesselJ[\[Mu], z] BesselJ[\[Nu], z] + BesselY[\[Mu], z] BesselY[\[Nu], z] == (Cos[Pi \[Nu]]/Pi^(5/2)) MeijerG[{{0, 1/2}, {}}, {{(\[Mu] + \[Nu])/2, -((\[Mu] + \[Nu])/2), (\[Nu] - \[Mu])/2}, {(\[Mu] - \[Nu])/2}}, z, 1/2] + (Cos[Pi \[Mu]]/Pi^(5/2)) MeijerG[{{0, 1/2}, {}}, {{(\[Mu] + \[Nu])/2, (\[Mu] - \[Nu])/2, -((\[Mu] + \[Nu])/2)}, {(\[Nu] - \[Mu])/2}}, z, 1/2] /; !Element[\[Mu] + \[Nu], Integers]








Standard Form





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MathML Form







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</mo> <mrow> <mrow> <mi> &#956; </mi> <mo> + </mo> <mi> &#957; </mi> </mrow> <mo> &#8713; </mo> <semantics> <mi> &#8484; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalZ]&quot;, Function[Integers]] </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <plus /> <apply> <times /> <apply> <times /> <apply> <ci> Subscript </ci> <ci> J </ci> <ci> &#956; </ci> </apply> <ci> z </ci> </apply> <apply> <times /> <apply> <ci> Subscript </ci> <ci> J </ci> <ci> &#957; </ci> </apply> <ci> z </ci> </apply> </apply> <apply> <times /> <apply> <times /> <apply> <ci> Subscript </ci> <ci> Y </ci> <ci> &#956; </ci> </apply> <ci> z </ci> </apply> <apply> <times /> <apply> <ci> Subscript </ci> <ci> Y </ci> <ci> &#957; </ci> </apply> <ci> z </ci> </apply> </apply> </apply> <apply> <plus /> <apply> <times /> <apply> <times /> <ci> cos </ci> <apply> <times /> <pi /> <ci> &#956; </ci> </apply> <apply> <power /> <apply> <power /> <pi /> <cn type='rational'> 5 <sep /> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <ci> MeijerG </ci> <list> <list> <cn type='integer'> 0 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </list> <list /> </list> <list> <list> <apply> <times /> <apply> <plus /> <ci> &#956; 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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29