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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=3/2





http://functions.wolfram.com/07.33.03.0423.01









  


  










Input Form





HypergeometricU[3/2, -4, -z] == -((1/(10395 Sqrt[Pi])) ((8 z (z (-24 + z (-21 + 4 z (-3 + z (-7 + 2 z)))) BesselK[0, z/2] + (-96 + z (-84 + z (-51 + 4 z (1 + z) (-7 + 2 z)))) BesselK[1, z/2] - (z (-24 + z (-21 + 4 z (-3 + z (-7 + 2 z)))) BesselI[0, z/2] + (96 + z (84 + z (51 + 4 z (7 + (5 - 2 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