Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On overconvergent subsequencs of closed to rows classical Pade'
  approximants   Let $f$ be a power series with positive radius of convergence. In the present
paper, we study the phenomenon of overconvergence of sequences of classical
Pade' approximants pi{n,m_n} associated with f, where m(n)<=m(n+1)<=m(n) and
m(n) = o(n/\log n), resp. m(n) = 0(n) as n is going to infiity. We extend
classical results by J. Hadamard and A. A. Ostrowski related to overconvergent
Taylor polynomials, as well as results by G. Lo'pez Lagomasino and A.
Ferna'ndes Infante concerning overconvergent subsequences of a fixed row of the
Pade' table.

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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin