Padé-type approximants with orthogonal generating polynomials
نویسندگان
چکیده
منابع مشابه
Orthogonal polynomials and Padé approximants for reciprocal polynomial weights
Let be a closed oriented contour on the Riemann sphere. Let E and F be polynomials of degree n + 1, with zeros respectively on the positive and negative sides of . We compute the [n=n] and [n 1=n] Padé denominator at 1 to f (z) = Z 1 z t dt E (t)F (t) : As a consequence, we compute the nth orthogonal polynomial for the weight 1= (EF ). In particular, when is the unit circle, this leads to an ex...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1983
ISSN: 0377-0427
DOI: 10.1016/0377-0427(83)90005-5