On higher order Padé-type approximants with some prescribed coefficients in the numerator
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In this work, we consider the construction of higher order rational approximants to a formal power series, with some prescribed coefficients in their numerators, precisely those of the higher order powers. The denominators of such approximants are related to the so-called Sobolev-type orthogonal polynomials. The elementary properties of these orthogonal polynomials are studied in the regular case.
Subject classificationAMS (MOS) 33A65
KeywordsPadé-type approximants Sobolev-type orthogonal polynomials
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