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Power




Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Representations through more general functions > Through Meijer G > Classical cases involving sqrt in the arguments and unit step theta





http://functions.wolfram.com/01.02.26.0022.01









  


  








Input Form





UnitStep[1 - Abs[z]] ((1 + Sqrt[1 - z])^\[Beta] - (1 - Sqrt[1 - z])^\[Beta]) == Sqrt[Pi] \[Beta] MeijerG[{{}, {(\[Beta] + 1)/2, 1 + \[Beta]/2}}, {{0, \[Beta]}, {}}, z] /; !IntervalMemberQ[Interval[{-1, 0}], 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)





2001-10-29