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Evaluation of Exponential Integral by Means of Fast-Converging Power Series
Faculty of Naval Architecture and Ocean Engineering, Istanbul Technical University, Istanbul, Turkey
- 1 Faculty of Naval Architecture and Ocean Engineering, Istanbul Technical University, Istanbul, Turkey
Advances in Pure Mathematics·Volume 11 (2021)·Pages 101–108·Published 13 January 2021·DOI10.4236/apm.2021.111006
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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.
KeywordsExponential IntegralGamma FunctionLaguerre SolutionFast-Converging Power Series
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