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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=9/2





http://functions.wolfram.com/07.33.03.0713.01









  


  








Input Form





HypergeometricU[9/2, -2, -z] == (1/(14189175 Sqrt[Pi])) ((32 z (z (105 + 2 z (5775 + 2 z (-3675 + 4 z (346 + z (-47 + 2 z))))) BesselK[0, z/2] + (420 + z (1155 + 2 z (1575 + 2 z (-2549 + 4 z (302 + z (-45 + 2 z)))))) BesselK[1, z/2] + ((-z) (105 + 2 z (5775 + 2 z (-3675 + 4 z (346 + z (-47 + 2 z))))) BesselI[0, z/2] + (420 + z (1155 + 2 z (1575 + 2 z (-2549 + 4 z (302 + z (-45 + 2 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