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HypergeometricU






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricU[a,b,z] > Specific values > For fixed z > For fixed z and a=3/2





http://functions.wolfram.com/07.33.03.0415.01









  


  










Input Form





HypergeometricU[3/2, -6, -z] == -((1/(2027025 Sqrt[Pi])) ((16 z (z (-1440 + z (-1080 + z (-495 + 4 z (-45 + z (-15 + 2 z (-9 + 2 z)))))) BesselK[0, z/2] + (-5760 + z (-4320 + z (-2160 + z (-855 + 4 z (-75 + z (-27 + 2 z (-7 + 2 z))))))) BesselK[1, z/2] - (z (-1440 + z (-1080 + z (-495 + 4 z (-45 + z (-15 + 2 z (-9 + 2 z)))))) BesselI[0, z/2] + (5760 + z (4320 + z (2160 + z (855 + 4 z (75 + z (27 + 2 (7 - 2 z) z)))))) BesselI[1, z/2]) (Log[-z] - Log[z])))/E^(z/2)))










Standard Form





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MathML Form







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type='integer'> 2 </cn> <ci> z </ci> </apply> </apply> </apply> <ci> z </ci> </apply> <cn type='integer'> 27 </cn> </apply> </apply> <cn type='integer'> 75 </cn> </apply> </apply> <cn type='integer'> 855 </cn> </apply> </apply> <cn type='integer'> 2160 </cn> </apply> </apply> <cn type='integer'> 4320 </cn> </apply> </apply> <cn type='integer'> 5760 </cn> </apply> <apply> <ci> BesselI </ci> <cn type='integer'> 1 </cn> <apply> <times /> <ci> z </ci> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <plus /> <apply> <ln /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ln /> <ci> z </ci> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02