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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=-11/2





http://functions.wolfram.com/07.33.03.0114.01









  


  










Input Form





HypergeometricU[-(11/2), 5, -z] == (1/(256 Sqrt[Pi] z^3)) ( (z (31185 + 8 z (-10395 + 2 z (436590 + z (654885 + 2 z (166605 + 2 z (18939 + 2 z (1038 + z (53 + z)))))))) BesselK[0, z/2] - 4 (-31185 + 2 z (41580 + z (-83160 + z (218295 + 2 z (413520 + z (268701 + 4 z (17016 + z (1973 + 2 z (52 + z))))))))) BesselK[1, z/2] - (z (31185 + 8 z (-10395 + 2 z (436590 + z (654885 + 2 z (166605 + 2 z (18939 + 2 z (1038 + z (53 + z)))))))) BesselI[0, z/2] + 4 (-31185 + 2 z (41580 + z (-83160 + z (218295 + 2 z (413520 + z (268701 + 4 z (17016 + z (1973 + 2 z (52 + 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