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Power






Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Continued fraction representations





http://functions.wolfram.com/01.02.10.0010.01









  


  










Input Form





(1 + z)^a == 1/(1 + ContinueFraction[{(-(Floor[k/2] - (-1)^k a)) z, 1 + (-1)^k + ((1 - (-1)^k)/2) k (1 + z)}, {k, 1, Infinity}]) /; !IntervalMemberQ[Interval[{-Infinity, -1}], 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





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