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variants of this functions
Log




Mathematica Notation

Traditional Notation









Elementary Functions > Log[z] > Differentiation > Fractional integro-differentiation





http://functions.wolfram.com/01.04.20.0016.01









  


  








Input Form





D[Log[z]^2, {z, \[Alpha]}] == Piecewise[{{(2 (-1)^(-1 + \[Alpha]) (-1 + \[Alpha])! (-EulerGamma + Log[z] - PolyGamma[\[Alpha]]))/z^\[Alpha], Element[\[Alpha], Integers] && \[Alpha] > 0}}, (1/(z^\[Alpha] Gamma[1 - \[Alpha]])) (Pi^2/6 + (-EulerGamma + Log[z] - PolyGamma[1 - \[Alpha]])^2 - PolyGamma[1, 1 - \[Alpha]])]








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