Bounds on coefficients of reciprocals of formal power series with rapidly decreasing coefficients

Kenneth S. Berenhaut, Edward E. Allen and Sam J. Fraser

Discrete Dynamics in Nature and Society, 2006, vol. 2006, 1-18

Abstract:

This paper studies reciprocals of formal power series whose coefficients are monotone and bounded by a geometrically decaying sequence. Explicit and applicable, optimal decay rates are provided for the coefficients of the reciprocal series in terms of the parameters of the geometric bound. The results imply a best possible lower bound on the zeros of the series being considered.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:040270

DOI: 10.1155/DDNS/2006/40270

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