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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/07.33.03.0234.01









  


  










Input Form





HypergeometricU[-(5/2), 4, -z] == (1/(32 Sqrt[Pi] z^2)) (((-z) (-15 + 4 z (225 + z (225 + 58 z + 4 z^2))) BesselK[0, z/2] + (60 + z (-135 + 4 z (75 + z (173 + 54 z + 4 z^2)))) BesselK[1, z/2] + (z (-15 + 4 z (225 + z (225 + 58 z + 4 z^2))) BesselI[0, z/2] + (60 + z (-135 + 4 z (75 + z (173 + 54 z + 4 z^2)))) 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