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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/07.33.03.0697.01









  


  








Input Form





HypergeometricU[9/2, -6, -z] == (1/(1443677610375 Sqrt[Pi])) ((128 z (z (151200 + z (189000 + z (142695 + 8 z (11025 + z (6615 + 2 z (23625 + z (-17325 + 4 z (927 + z (-75 + 2 z))))))))) BesselK[0, z/2] + (604800 + z (756000 + z (589680 + z (376425 + 8 z (28665 + z (19845 + 2 z (11025 + z (-14043 + 4 z (855 + z (-73 + 2 z)))))))))) BesselK[1, z/2] + ((-z) (151200 + z (189000 + z (142695 + 8 z (11025 + z (6615 + 2 z (23625 + z (-17325 + 4 z (927 + z (-75 + 2 z))))))))) BesselI[0, z/2] + (604800 + z (756000 + z (589680 + z (376425 + 8 z (28665 + z (19845 + 2 z (11025 + z (-14043 + 4 z (855 + z (-73 + 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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</mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 11025 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 19845 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 28665 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 376425 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 589680 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 756000 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 604800 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mrow> <msub> <mi> I </mi> <mn> 1 </mn> </msub> <mo> ( </mo> <mfrac> <mi> z </mi> <mn> 2 </mn> </mfrac> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mi> z </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 8 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> 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Rule Form





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





2007-05-02