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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/07.33.03.0827.01









  


  










Input Form





HypergeometricU[11/2, 5, -z] == -((1/(945 Sqrt[Pi] z^3)) ((8 (z (-3 + z (-3 + 4 (-3 + z) z)) BesselK[0, z/2] + (-12 + z (-12 + z (-9 + 4 (-2 + z) z))) BesselK[1, z/2] - (z (-3 + z (-3 + 4 (-3 + z) z)) BesselI[0, z/2] + (12 + z (12 + z (9 - 4 (-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