Rational Chebyshev approximations for the exponential integral πΈβ(π₯)
Open Access
- 1 January 1968
- journal article
- Published byΒ American Mathematical Society (AMS)Β inΒ Mathematics of Computation
- Vol.Β 22 Β (103) , 641-649
- https://doi.org/10.1090/s0025-5718-1968-0226823-x
Abstract
Rational Chebyshev approximations are presented for the exponential integral E 1 ( x ) {E_1}(x) in the intervals ( 0 , 1 ] (0,1] , [ 1 , 4 ] [1,4] , and [ 4 , β ) [4,\infty ) with maximal relative errors ranging down to 10 β 21 {10^{ - 21}} . 25 S 25S coefficients are also given for a continued-fraction expansion for small X X .Keywords
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