Evaluation of Exponential Integral by Means of Fast-Converging Power Series
Open Access
- 1 January 2021
- journal article
- editorial
- Published by Scientific Research Publishing, Inc. in Advances in Pure Mathematics
- Vol. 11 (01), 101-108
- https://doi.org/10.4236/apm.2021.111006
Abstract
Exponential integral for real arguments is evaluated by employing a fast-converging power series originally developed for the resolution of Grandi’s paradox. Laguerre’s historic solution is first recapitulated and then the new solution method is described in detail. Numerical results obtained from the present series solution are compared with the tabulated values correct to nine decimal places. Finally, comments are made for the further use of the present approach for integrals involving definite functions in denominator.Keywords
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