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

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 resul...

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Bibliographic Details
Main Authors: Kenneth S. Berenhaut, Edward E. Allen, Sam J. Fraser
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/DDNS/2006/40270