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8

ICCSA
2003
Springer

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Uniform Approximations for Transcendental Functions

13 years 9 months ago

Uniform Approximations for Transcendental Functions

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A heuristic method to construct uniform approximations to analytic transcendental functions is developed as a generalization of the Hermite-Pad´e 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.

Serge Winitzki

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Analytic Transcendental Functions | Applied Computing | ICCSA 2003 | Transcendental Functions | Uniform Approximation |

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Added	06 Jul 2010
Updated	06 Jul 2010
Type	Conference
Year	2003
Where	ICCSA
Authors	Serge Winitzki

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