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| | The Analytic Continuation of the HyperPower function |
 | | The finite real HyperPower function has been studied extensively and interested readers are advised to consult references [16], [30], [33], [34], and particularly [40] and [41]. |
 | | Although the two subsequences f(x,2k) and f(x, 2k+1), k in N, left of the bifurcation point converge to different limits, F(x) continues all the way down to 0, (which was shown to be the limit in lemma #1), because the point e |
 | | It is also interesting to note that D is nothing more than the region of analyticity of the principal branch of the Lambert's W, under the map exp(z), also as expected (!). |
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