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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/07.33.03.0117.01









  


  








Input Form





HypergeometricU[-(11/2), 6, -z] == (1/(512 Sqrt[Pi] z^4)) ( (z (-249480 + z (530145 + 8 z (-93555 + z (3711015 + 2 z (2401245 + z (1056447 + 4 z (52563 + z (5109 + 234 z + 4 z^2)))))))) BesselK[0, z/2] - (997920 + z (-2120580 + z (3024945 + 8 z (-530145 + z (1091475 + 2 z (1605807 + z (874167 + 4 z (47793 + z (4881 + 230 z + 4 z^2))))))))) BesselK[1, z/2] - (z (-249480 + z (530145 + 8 z (-93555 + z (3711015 + 2 z (2401245 + z (1056447 + 4 z (52563 + z (5109 + 234 z + 4 z^2)))))))) BesselI[0, z/2] + (997920 + z (-2120580 + z (3024945 + 8 z (-530145 + z (1091475 + 2 z (1605807 + z (874167 + 4 z (47793 + z (4881 + 230 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