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.