Laguerre, E.N. (1879) Sur l’intégrale ∫^∞_x(e^-x/x)dx. Bulletin de la Societé Mathématique de France, 7, 72-81.
https://doi.org/10.24033/bsmf.157

has been cited by the following article:

• TITLE: Evaluation of Exponential Integral by Means of Fast-Converging Power Series

  AUTHORS: Serdar Beji

  KEYWORDS: Exponential Integral, Gamma Function, Laguerre Solution, Fast-Converging Power Series

  JOURNAL NAME: Advances in Pure Mathematics, Vol.11 No.1, January 29, 2021

  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.