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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/40270 |
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| Summary: | 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. |
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| ISSN: | 1026-0226 1607-887X |