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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/07.33.03.0277.01









  


  








Input Form





HypergeometricU[-(3/2), 4, -z] == (1/(16 Sqrt[Pi] z^2)) ((z (-3 + 4 z (21 + z (15 + 2 z))) BesselK[0, z/2] - (12 + z (-21 + 4 z (9 + z (13 + 2 z)))) BesselK[1, z/2] - (z (-3 + 4 z (21 + z (15 + 2 z))) BesselI[0, z/2] + (12 + z (-21 + 4 z (9 + z (13 + 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