Analytic properties of the limits of the even and odd hyperpower sequences
Bull. Korean Math. Soc. 2004 Vol. 41, No. 1, 27-43
Published online March 1, 2004
Yunhi Cho and Young-One Kim
University of Seoul, Seoul National University
Abstract : Let $h_e(x)$ and $h_o(x)$ denote the limits of the sequences $\{{}^{2n}x\}$ and $\{{}^{2n+1}x\}$, respectively. Asymptotic formulas for the functions $h_e$ and $h_o$ at the points $e^{-e}$ and $0$ are established.
Keywords : approximation, asymptotic formula, hyperpower sequence
MSC numbers : 26A06, 26A18, 26A24
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