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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/07.33.03.0080.01









  


  








Input Form





HypergeometricU[-(11/2), -6, -z] == (1/(8 Sqrt[Pi])) ((z (z (1440 + z (-600 + z (159 - 30 z + 4 z^2))) BesselK[0, z/2] + (5760 + z (-2400 + z (816 + z (-195 + 34 z - 4 z^2)))) BesselK[1, z/2] - (z (1440 + z (-600 + z (159 - 30 z + 4 z^2))) BesselI[0, z/2] + (-5760 + z (2400 + z (-816 + z (195 - 34 z + 4 z^2)))) 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