Interpolation properties of Hermite–Padé polynomials
Copyright policy )Interpolation properties of Hermite–Padé polynomials
In this paper, the author said that two theorems about properties of Hermite-Padé polynomials of interpolation can be proved, one using the classical potential theory methods proposed by \textit{A. A. Gonchar} and \textit{E. A. Rakhmanov} [Proc. Steklov Inst. Math. 157, 31--50 (1983; Zbl 0518.41011)], and the other based on the Gonchar-Rakhmanov-Stahl method developed in 1985--1987, and also on the new approach to the investigation of the limiting distribution of zeros of Hermite-Padé polynomials which is based in potential theory on Riemann surfaces.
potential theory, Hermite-Padé polynomials, Padé approximation, Interpolation in approximation theory, interpolation
potential theory, Hermite-Padé polynomials, Padé approximation, Interpolation in approximation theory, interpolation
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