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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/07.33.03.0785.01









  


  








Input Form





HypergeometricU[11/2, -(11/2), -z] == (1/(2414168064000 z)) ((z (-2 E^z Sqrt[-z] (-9823275 + 4 z (-3274425 + z (-2837835 + 8 z (-270270 + z (-218295 + 4 z (-59535 + z (134445 + 2 z (-24396 + z (3369 + 4 (-49 + z) z))))))))) + Sqrt[Pi] (9823275 + 2 z (9823275 + 2 z (5457375 + 2 z (2338875 - 4 z (-467775 + 2 z (-218295 + 2 z (-218295 + 2 z (155925 + z (-51975 + 2 z (3465 + 2 z (-99 + 2 z)))))))))))) - Sqrt[Pi] Sqrt[-z^2] (9823275 + 2 z (9823275 + 2 z (5457375 + 2 z (2338875 - 4 z (-467775 + 2 z (-218295 + 2 z (-218295 + 2 z (155925 + z (-51975 + 2 z (3465 + 2 z (-99 + 2 z))))))))))) Erfi[Sqrt[z]])/E^z)








Standard Form





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MathML Form







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9823275 </cn> </apply> <apply> <ci> Erfi </ci> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </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