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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=7/2





http://functions.wolfram.com/07.33.03.0604.01









  


  








Input Form





HypergeometricU[7/2, -5, -z] == -((1/(516891375 Sqrt[Pi])) ((64 z (2 z (-900 + z (-1080 + z (-810 + z (-525 + 16 (-7 + z) z (30 + (-15 + z) z))))) BesselK[0, z/2] + (-7200 + z (-8640 + z (-6705 + 2 z (-2235 + z (-1575 + 8 z (-210 + z (229 + 2 (-21 + z) z))))))) BesselK[1, z/2] - (2 z (-900 + z (-1080 + z (-810 + z (-525 + 16 (-7 + z) z (30 + (-15 + z) z))))) BesselI[0, z/2] + (7200 + z (8640 + z (6705 + 2 z (2235 + z (1575 - 8 z (-210 + z (229 + 2 (-21 + 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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<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