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- W2060412618 abstract "It is proved that whenever a nonlinear Pade' approximant, derived from a series of orthogonal polynomials, exists, it is unique. Let 0,(x), r = 0, 1, 2, ... , be a set of polynomials which are orthogonal on an interval (a, b], finite, semi-infinite, or infinite, with weight function w(x), whose integral over any subinterval of [a, b] is positive; i.e., (1) fb W(X)Or(X)Os(X) dx = 0 if r $ s. Then it is known that br(X) is a polynomial of degree exactly r. Suppose now f(x) is a function which has a formal expansion of the form" @default.
- W2060412618 created "2016-06-24" @default.
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- W2060412618 date "1977-09-01" @default.
- W2060412618 modified "2023-09-26" @default.
- W2060412618 title "Uniqueness of Padé approximants from series of orthogonal polynomials" @default.
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- W2060412618 doi "https://doi.org/10.1090/s0025-5718-1977-0447901-1" @default.
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