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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=11/2





http://functions.wolfram.com/07.33.03.0799.01









  


  








Input Form





HypergeometricU[11/2, -2, -z] == -((1/(1915538625 Sqrt[Pi])) ((64 z (z (-945 + 2 z (-85995 + 4 z (33075 + 2 z (-8130 + z (1635 + 2 z (-69 + 2 z)))))) BesselK[0, z/2] + (-3780 + z (-12285 + 2 z (-19845 + 4 z (20955 + 2 z (-6690 + z (1503 + 2 z (-67 + 2 z))))))) BesselK[1, z/2] - (z (-945 + 2 z (-85995 + 4 z (33075 + 2 z (-8130 + z (1635 + 2 z (-69 + 2 z)))))) BesselI[0, z/2] + (3780 + z (12285 + 2 z (19845 - 4 z (20955 + 2 z (-6690 + z (1503 + 2 z (-67 + 2 z))))))) BesselI[1, z/2]) (Log[-z] - Log[z])))/E^(z/2)))








Standard Form





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MathML Form







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<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