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Erschienen in:
2003 | OriginalPaper | Buchkapitel
Uniform Approximations for Transcendental Functions
verfasst von : Serge Winitzki
Erschienen in: Computational Science and Its Applications — ICCSA 2003
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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A heuristic method to construct uniform approximations to analytic transcendental functions is developed as a generalization of the Hermite-Padé interpolation to infinite intervals. The resulting uniform approximants are built from elementary functions using known series and asymptotic expansions of the given transcendental function. In one case (Lambert’s W function) we obtained a uniform approximation valid in the entire complex plane. Several examples of the application of this method to selected transcendental functions are given.