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HypergeometricU




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricU[a,b,z] > Transformations > Transformations and argument simplifications > Argument involving basic arithmetic operations





http://functions.wolfram.com/07.33.16.0001.01









  


  








Input Form





HypergeometricU[a, b, -z] == (z (Gamma[b - 1]/Gamma[a]) (Sin[(a - b) Pi]/(z^b Sin[Pi a]) - (-z)^(-b)) Hypergeometric1F1[1 - a, 2 - b, z])/E^z + (Gamma[1 - a]/(E^z Gamma[1 + a - b])) HypergeometricU[b - a, b, 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)





2001-10-29