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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/07.33.03.0335.01









  


  










Input Form





HypergeometricU[1/2, -(9/2), -z] == (1/(3840 Sqrt[z])) ((Sqrt[z] (Sqrt[Pi] (945 + 2 z (525 + 4 z (5 + 2 z) (15 + 2 z^2))) + 2 E^z Sqrt[-z] (945 + 4 z (105 + 2 z (19 + 2 z (3 + z))))) - Sqrt[Pi] Sqrt[-z] (945 + 2 z (525 + 4 z (5 + 2 z) (15 + 2 z^2))) 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