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AiryBiPrime




Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryBiPrime[z] > Representations through more general functions > Through Meijer G > Generalized cases involving Bessel K





http://functions.wolfram.com/03.08.26.0025.01









  


  








Input Form





AiryBiPrime[(3/2)^(2/3) z^(2/3)] BesselK[\[Nu], z] == ((3^(1/6) Pi^(3/2) Csc[Pi \[Nu]])/2^(2/3)) (MeijerG[{{1/3, 5/6}, {1/3 - \[Nu]/2, 5/6 - \[Nu]/2}}, {{-(\[Nu]/2), 2/3 - \[Nu]/2}, {1/3 - \[Nu]/2, 5/6 - \[Nu]/2, \[Nu]/2, 2/3 + \[Nu]/2}}, z^(2/3), 1/3] - MeijerG[{{1/3, 5/6}, {1/3 + \[Nu]/2, 5/6 + \[Nu]/2}}, {{\[Nu]/2, 2/3 + \[Nu]/2}, {-(\[Nu]/2), 2/3 - \[Nu]/2, 1/3 + \[Nu]/2, 5/6 + \[Nu]/2}}, z^(2/3), 1/3])








Standard Form





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MathML Form







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</ci> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <plus /> <apply> <times /> <ci> &#957; </ci> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <cn type='rational'> 2 <sep /> 3 </cn> </apply> </list> <list> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <ci> &#957; </ci> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <plus /> <cn type='rational'> 2 <sep /> 3 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <ci> &#957; </ci> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> <apply> <plus /> <apply> <times /> <ci> &#957; </ci> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <cn type='rational'> 1 <sep /> 3 </cn> </apply> <apply> <plus /> <apply> <times /> <ci> &#957; </ci> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <cn type='rational'> 5 <sep /> 6 </cn> </apply> </list> </list> <apply> <power /> <ci> z </ci> <cn type='rational'> 2 <sep /> 3 </cn> </apply> <cn type='rational'> 1 <sep /> 3 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2003-08-21