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HypergeometricU






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricU[a,b,z] > Differentiation > Fractional integro-differentiation > With respect to z





http://functions.wolfram.com/07.33.20.0014.01









  


  










Input Form





D[HypergeometricU[a, b, z], {z, \[Alpha]}] == Pi Csc[b Pi] ((1/(z^\[Alpha] Gamma[1 + a - b])) HypergeometricPFQRegularized[{1, a}, {b, 1 - \[Alpha]}, z] - (z^(1 - b - \[Alpha])/Gamma[a]) Hypergeometric1F1Regularized[1 + a - b, 2 - b - \[Alpha], 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