Abstract
We derive a singular integral equation satisfied by the remainder function associated with the polynomials forming a diagonal Padé approximant. From this equation, the asymptotic behavior of the high-order polynomials is deduced for certain classes of functions being approximated.
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Communicated by Edward B. Saff.
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Nuttall, J. Padé polynomial asymptotics from a singular integral equation. Constr. Approx 6, 157–166 (1990). https://doi.org/10.1007/BF01889355
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DOI: https://doi.org/10.1007/BF01889355