Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Note on The Positivity of the Coefficients of Some Power Series
  Expansions   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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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat