COMPUTATIONAL ALGORITHM FOR THE EXPONENTIAL INTEGRAL

Document Type : Original Article

Authors

1 Department of Astronomy, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

2 Department of Mathematics, Faculty of Science, University of Dammam, Dammam, Saudi Arabia

Abstract

In this paper, an efficient computational algorithm for the exponential integral )(zEυ was established for all 21qiqv+= and biaz+=. The algorithm based on the evaluation of the continued fraction expansion of )(zEυ. Numerical applications of the algorithm are also given together with 3D plotes.

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