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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=1/2





http://functions.wolfram.com/07.33.03.0329.01









  


  








Input Form





HypergeometricU[1/2, -6, -z] == (1/(135135 Sqrt[Pi])) ((8 z (z (1440 + z (840 + z (303 + 4 z (21 + z (5 + 2 z))))) BesselK[0, z/2] + (5760 + z (3360 + z (1392 + z (441 + 4 z (29 + z (7 + 2 z)))))) BesselK[1, z/2] + ((-z) (1440 + z (840 + z (303 + 4 z (21 + z (5 + 2 z))))) BesselI[0, z/2] + (5760 + z (3360 + z (1392 + z (441 + 4 z (29 + z (7 + 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