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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=-1/2





http://functions.wolfram.com/07.33.03.0321.01









  


  








Input Form





HypergeometricU[-(1/2), 4, -z] == (1/(8 Sqrt[Pi] z^2)) ((z (1 - 2 z (5 + 2 z)) BesselK[0, z/2] + (4 + z (-5 + 6 z + 4 z^2)) BesselK[1, z/2] + (z (-1 + 2 z (5 + 2 z)) BesselI[0, z/2] + (4 + z (-5 + 6 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