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HypergeometricU






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricU[a,b,z] > Identities > Functional identities > Relations of special kind





http://functions.wolfram.com/07.33.17.0014.01









  


  










Input Form





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





2007-05-02





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