geometric bound
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2013 ◽  
Author(s):  
Andrea Borghese ◽  
Diederik Roest ◽  
Ivonne Zavala
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2012 ◽  
Vol 2012 (9) ◽  
Author(s):  
Andrea Borghese ◽  
Diederik Roest ◽  
Ivonne Zavala
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2008 ◽  
Vol 44 (5) ◽  
pp. 340 ◽  
Author(s):  
X. Zhao ◽  
D. Gong ◽  
Y. Li
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2006 ◽  
Vol 2006 ◽  
pp. 1-18 ◽  
Author(s):  
Kenneth S. Berenhaut ◽  
Edward E. Allen ◽  
Sam J. Fraser

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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