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HypergeometricU




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricU[a,b,z] > Integral representations > Contour integral representations





http://functions.wolfram.com/07.33.07.0004.01









  


  








Input Form





HypergeometricU[a, b, z]/E^z == (1/(2 Pi I)) Integrate[(Gamma[s] Gamma[1 - b + s])/Gamma[a - b + 1 + s]/z^s, {s, \[Gamma] - I Infinity, \[Gamma] + I Infinity}] /; Max[0, Re[b] - 1] < \[Gamma] && Abs[Arg[z]] < Pi/2








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