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HypergeometricU






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricU[a,b,z] > Series representations > Generalized power series > Expansions on branch cuts > For the function itself





http://functions.wolfram.com/07.33.06.0022.01









  


  










Input Form





HypergeometricU[a, b, z] \[Proportional] (1/Gamma[1 + a - b]) (2 I E^(I b Pi) Pi Floor[Arg[-x + z]/(2 Pi)] Hypergeometric1F1Regularized[a, b, x]) + HypergeometricU[a, b, x]/ E^(2 I b Pi Floor[Arg[-x + z]/(2 Pi)]) + O[z - x] /; 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)





2007-05-02