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HypergeometricU




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricU[a,b,z] > Representations through more general functions > Through hypergeometric functions > Involving 1F~1





http://functions.wolfram.com/07.33.26.0002.01









  


  








Input Form





HypergeometricU[a, b, z] == Pi Csc[b Pi] ((1/Gamma[a - b + 1]) HypergeometricPFQRegularized[{a}, {b}, z] - (1/Gamma[a]) z^(1 - b) HypergeometricPFQRegularized[{a - b + 1}, {2 - b}, z]) /; !Element[b, Integers]








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