On the A-transform of the exponential integrals |
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Authors: | Mohamed Adelsharaf |
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Institution: | (1) Dept. of Astronomy, University of Cairo, Egypt;(2) Present address: Department of Astronomy, University of Manchester, England |
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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
n
( ). The main result of this analysis enables us to establish a two-term recurrence formula for
n
(0) and a three-term recurrence formula for
n
( ); ![tau](/content/w7k16j4087566034/xxlarge964.gif) 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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Keywords: | |
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