Mathematics – Complex Variables
Scientific paper
2011-04-04
Mathematics
Complex Variables
6 pages
Scientific paper
In this short note, a general result concerning the positivity, under some
conditions, of the coefficients of a power series is proved. This allows us to
answer positively a question raised by Guo (2010) about the sign of the
coefficients of a power series relating the residual errors in Halley's
iterations for the $p$th root.
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