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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=9/2





http://functions.wolfram.com/07.33.03.0705.01









  


  








Input Form





HypergeometricU[9/2, -4, -z] == (1/(3618239625 Sqrt[Pi])) ((64 z (z (2520 + z (4095 + 2 z (2205 + 4 z (9555 + 2 z (-4410 + z (1203 + 2 z (-61 + 2 z))))))) BesselK[0, z/2] + (10080 + z (16380 + z (17955 + 2 z (9555 + 4 z (3675 + 2 z (-3378 + z (1087 + 2 z (-59 + 2 z)))))))) BesselK[1, z/2] + ((-z) (2520 + z (4095 + 2 z (2205 + 4 z (9555 + 2 z (-4410 + z (1203 + 2 z (-61 + 2 z))))))) BesselI[0, z/2] + (10080 + z (16380 + z (17955 + 2 z (9555 + 4 z (3675 + 2 z (-3378 + z (1087 + 2 z (-59 + 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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</apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ln /> <ci> z </ci> </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