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HypergeometricU




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricU[a,b,z] > Series representations > Generalized power series > Expansions at z==0 > Logarithmic case





http://functions.wolfram.com/07.33.06.0023.01









  


  








Input Form





HypergeometricU[a, 1, z] \[Proportional] (-(1/Gamma[a])) (2 EulerGamma + PolyGamma[a] + Log[z] (1 + a z + (1/4) a (1 + a) z^2 + O[z^3]) + a z (-2 (1 - EulerGamma) + PolyGamma[1 + a] + (((1 + a) z)/4) (-2 (3/2 - EulerGamma) + PolyGamma[2 + a]) + (((1 + a) (2 + a) z^2)/36) (-2 (11/6 - EulerGamma) + PolyGamma[3 + a]) + O[z^3])) /; (z -> 0)








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