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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=-5/2





http://functions.wolfram.com/07.33.03.0240.01









  


  








Input Form





HypergeometricU[-(5/2), 6, -z] == (1/(64 Sqrt[Pi] z^4)) ( ((-z) (-360 + z (495 + 2 z (-225 + 2 z (1155 + 4 z (210 + z (39 + 2 z)))))) BesselK[0, z/2] + (1440 + z (-1980 + z (1845 + 2 z (-825 + 2 z (525 + 4 z (174 + z (37 + 2 z))))))) BesselK[1, z/2] + (z (-360 + z (495 + 2 z (-225 + 2 z (1155 + 4 z (210 + z (39 + 2 z)))))) BesselI[0, z/2] + (1440 + z (-1980 + z (1845 + 2 z (-825 + 2 z (525 + 4 z (174 + z (37 + 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