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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/07.33.03.0803.01









  


  








Input Form





HypergeometricU[11/2, -1, -z] == -((1/(127702575 Sqrt[Pi])) ((64 z (2 z (-9 + 2 z) (1890 + z (-3255 + 2 z (753 + 2 z (-51 + 2 z)))) BesselK[0, z/2] + (-945 + 2 z (-2835 + z (18969 + 8 z (-1986 + z (549 + 2 (-29 + z) z))))) BesselK[1, z/2] - (2 z (-9 + 2 z) (1890 + z (-3255 + 2 z (753 + 2 z (-51 + 2 z)))) BesselI[0, z/2] + (945 + 2 z (2835 + z (-18969 - 8 z (-1986 + z (549 + 2 (-29 + 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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Rule Form





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





2007-05-02