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Power




Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Differentiation > Fractional integro-differentiation > With respect to z





http://functions.wolfram.com/01.02.20.0019.01









  


  








Input Form





D[(c z^2 + b)^a, {z, \[Alpha]}] == (b^a HypergeometricPFQRegularized[{{-\[Alpha]}, {-a}, {-a}}, {{1 - \[Alpha]}, {}, {}}, z/(Sqrt[-(b/c)] + z), -(z/(Sqrt[-(b/c)] - z))])/ (z^\[Alpha] (Sqrt[-(b/c)]/(Sqrt[-(b/c)] - z))^a (Sqrt[-(b/c)]/(Sqrt[-(b/c)] + z))^a)








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