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HypergeometricU






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricU[a,b,z] > General characteristics > Branch cuts > With respect to z





http://functions.wolfram.com/07.33.04.0016.01









  


  










Input Form





Limit[HypergeometricU[a, b, x - I \[Epsilon]], \[Epsilon] -> Plus[0]] == E^(2 I b Pi) HypergeometricU[a, b, x] - (2 I Pi E^(I b Pi) Hypergeometric1F1[a, b, x])/ (Gamma[a - b + 1] Gamma[b]) /; x < 0










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)





2001-10-29





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