On the A-transform of the exponential integrals

Details On the A-transform of the exponential integrals On the A-transform of the exponential integrals

Jan 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ap%26ss..60..199a&link_type=abstract

Astrophysics and Space Science, Volume 60, Issue 1, pp.199-212

Astronomy and Astrophysics

Astrophysics

Scientific paper

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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