# Uniform Approximations for Transcendental Functions

@inproceedings{Winitzki2003UniformAF, title={Uniform Approximations for Transcendental Functions}, author={Sergei Winitzki}, booktitle={ICCSA}, year={2003} }

A heuristic method to construct uniform approximations to analytic transcendental functions is developed as a generalization of the Hermite-Pade 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…

## 110 Citations

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