THE DIFFERENTIAL PROPERTY OF ODD AND EVEN HYPERPOWER FUNCTIONS

  • Cho, Yunhi (Department of Mathematics University of Seoul)
  • Received : 2004.02.10
  • Published : 2004.02.28

Abstract

Let $h_e(y)$, $h_o(y)$ denote the limits of the sequences {$^{2n}x$}, {$^{2n+1}x$}, respectively. From these two functions, we obtain a function $y=p(x)$ as an inverse function of them. Several differential properties of $y=p(x)$ are induced.

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