Abstract
In this paper, a technique of recursive analysis is developed for the integral transform A of the exponential integral functionsE n which is denoted as λ n (τ). The main result of this analysis enables us to establish a two-term recurrence formula for λ n (0) and a three-term recurrence formula for λ n (τ); τ≠0. A computational algorithm based on these formulae is also constructed and its numerical results forn=2(1)25 are presented to 15-digit accuracy.
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References
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Adelsharaf, M. On the A-transform of the exponential integrals. Astrophys Space Sci 60, 199–212 (1979). https://doi.org/10.1007/BF00648252
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DOI: https://doi.org/10.1007/BF00648252