A Note on The Positivity of the Coefficients of Some Power Series Expansions

Mathematics – Complex Variables

Scientific paper

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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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