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The asymptotic behavior of quadratic Hermite-Padé polynomials pn, qn, rn ∈ Pn of type I and pn, qn, rn ∈ P 2n of type II associated with the exponential function are studied. In the introduction the background of the definition of Hermite-Padé polynomials is reviewed. The quadratic Hermite-Padé polynomials pn, qn, rn ∈ Pn of type I are defined by the… (More)

Let f (z)= (t&z) &1 d+(t) be a Markov function, where + is a positive measure with compact support in R. We assume that supp(+)/(&1, 1), and investigate the best rational approximants to f in the Hardy space H 0 2 (V), where V :=[z # C | |z|>1] and H 0 2 (V) is the subset of functions f # H 2 (V) with f ()=0. The central topic of the paper is to obtain… (More)

- Herbert Stahl
- 1981

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