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- W2011993485 abstract "Given a function f holomorphic at infinity, the nth diagonal Padé approximant to f, denoted by [n/n]f, is a rational function of type (n,n) that has the highest order of contact with f at infinity. Nuttall’s theorem provides an asymptotic formula for the error of approximation f−[n/n]f in the case where f is the Cauchy integral of a smooth density with respect to the arcsine distribution on [−1,1]. In this note, Nuttall’s theorem is extended to Cauchy integrals of analytic densities on the so-called algebraic S-contours (in the sense of Nuttall and Stahl)." @default.
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- W2011993485 date "2015-02-01" @default.
- W2011993485 modified "2023-10-13" @default.
- W2011993485 title "Nuttall’s theorem with analytic weights on algebraic S-contours" @default.
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