Abstract
We analyse integrals representing the Lambert W function, paying attention to computations using various rules. Rates of convergence are investigated, with the way in which they vary over the domain of the function being a focus. The first integral evaluates with errors independent of the function variable over a significant range. The second integral converges faster, but the rate varies with the function variable.
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CITATION STYLE
Al Kafri, H., Jeffrey, D. J., & Corless, R. M. (2017). Rapidly convergent integrals and function evaluation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10693 LNCS, pp. 270–274). Springer Verlag. https://doi.org/10.1007/978-3-319-72453-9_20
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