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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=-1/2





http://functions.wolfram.com/07.33.03.0287.01









  


  








Input Form





HypergeometricU[-(1/2), -(11/2), -z] == (1/(7680 Sqrt[z])) ((Sqrt[z] (2 E^z Sqrt[-z] (10395 + 8 z (315 + 2 z (42 + z (8 + z)))) + Sqrt[Pi] (10395 + 2 z (4725 + 4 z (525 + 2 z (75 + z (15 + 2 z)))))) - Sqrt[Pi] Sqrt[-z] (10395 + 2 z (4725 + 4 z (525 + 2 z (75 + z (15 + 2 z))))) Erfi[Sqrt[z]])/E^z)








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