Bounds on coefficients of reciprocals of formal power series with rapidly decreasing coefficients (Q933851)
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scientific article; zbMATH DE number 5304377
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounds on coefficients of reciprocals of formal power series with rapidly decreasing coefficients |
scientific article; zbMATH DE number 5304377 |
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Bounds on coefficients of reciprocals of formal power series with rapidly decreasing coefficients (English)
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28 July 2008
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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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starlike harmonic functions
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convex harmonic functions
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0.8828957
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0.8816978
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0.87678826
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0.87651515
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0.87107927
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0.8706825
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