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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/07.33.03.0237.01









  


  








Input Form





HypergeometricU[-(5/2), 5, -z] == (1/(32 Sqrt[Pi] z^3)) (((-z) (45 + z (-75 + 4 z (5 + z) (75 + 4 z (12 + z)))) BesselK[0, z/2] + (-180 + z (300 + z (-375 + 4 z (150 + z (253 + 4 z (16 + z)))))) BesselK[1, z/2] + (z (45 + z (-75 + 4 z (5 + z) (75 + 4 z (12 + z)))) BesselI[0, z/2] + (-180 + z (300 + z (-375 + 4 z (150 + z (253 + 4 z (16 + 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