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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=7/2





http://functions.wolfram.com/07.33.03.0600.01









  


  








Input Form





HypergeometricU[7/2, -6, -z] == -((1/(9820936125 Sqrt[Pi])) ((64 z (z (-21600 + z (-23400 + z (-15345 + 2 z (-4095 + 4 z (-525 + 2 z (-1170 + z (675 - 98 z + 4 z^2))))))) BesselK[0, z/2] + (-86400 + z (-93600 + z (-64080 + z (-35685 + 2 z (-9345 + 4 z (-1365 + 2 z (-630 + z (583 - 94 z + 4 z^2)))))))) BesselK[1, z/2] - (z (-21600 + z (-23400 + z (-15345 + 2 z (-4095 + 4 z (-525 + 2 z (-1170 + z (675 - 98 z + 4 z^2))))))) BesselI[0, z/2] + (86400 + z (93600 + z (64080 + z (35685 + 2 z (9345 + 4 z (1365 + 2 z (630 + z (-583 + 94 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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<apply> <ln /> <ci> z </ci> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02