Simplified calculation of for positive arguments, and a short table of
Authors:
Robert F. Tooper and John Mark
Journal:
Math. Comp. 22 (1968), 448449
Fulltext PDF Free Access
References 
Additional Information
 [1]
C. W. Clenshaw, Chebyshev Series for Mathematical Functions, National Physical Laboratory Mathematical Tables, Vol. 5, H. M. S. O., London, 1962, p. 29. MR 26 #362.
 [2]
C.
W. Clenshaw, G.
F. Miller, and M.
Woodger, Algorithms for special functions. I, Numer. Math.
4 (1962/1963), 403–419. MR 0154397
(27 #4346)
 [3]
W. J. Cody & J. Stoer, "Rational Chebyshev approximation using interpolation," Numer. Math., v. 9, 1966, pp. 177188.
 [4]
P. J. Davis & I. Polonsky, "Numerical interpolation, differentiation and integration," Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun, National Bureau of Standards Appl. Math. Series, No. 55, U. S. Government Printing Office, Washington, D. C., 1964, p. 917.
 [5]
Frank
E. Harris, Tables of the exponential integral
𝐸𝑖(𝑥), Math. Tables
Aids Comput. 11
(1957), 9–16. MR 0088069
(19,464b), http://dx.doi.org/10.1090/S00255718195700880690
 [6]
Masao
Kotani, Ayao
Amemiya, Eiichi
Ishiguro, and Tôsaku
Kimura, Table of molecular integrals, Maruzen Co. Ltd., Tokyo,
1955. MR
0087231 (19,324f)
 [7]
James
Miller and R.
P. Hurst, Simplified calculation of the
exponential integral, Math. Tables Aids
Comput. 12 (1958),
187–193. MR 0104348
(21 #3103), http://dx.doi.org/10.1090/S00255718195801043483
 [8]
Anthony
Ralston, A first course in numerical analysis, McGrawHill
Book Co., New York, 1965. MR 0191070
(32 #8479)
 [9]
D. van Z. Wadsworth, "Improved asymptotic expansion for the exponential integral with positive argument," Math. Comp., v. 19, 1965, pp. 327328.
 [1]
 C. W. Clenshaw, Chebyshev Series for Mathematical Functions, National Physical Laboratory Mathematical Tables, Vol. 5, H. M. S. O., London, 1962, p. 29. MR 26 #362.
 [2]
 C. W. Clenshaw, G. F. Miller & M. Woodger, "Algorithms for special functions. I," Numer. Math., v. 4, 1963, pp. 403419. MR 27 #4346. MR 0154397 (27:4346)
 [3]
 W. J. Cody & J. Stoer, "Rational Chebyshev approximation using interpolation," Numer. Math., v. 9, 1966, pp. 177188.
 [4]
 P. J. Davis & I. Polonsky, "Numerical interpolation, differentiation and integration," Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun, National Bureau of Standards Appl. Math. Series, No. 55, U. S. Government Printing Office, Washington, D. C., 1964, p. 917.
 [5]
 F. E. Harris, "Tables of the exponential integral ," MTAC, v. 11, 1957, pp. 916. MR 19, 464. MR 0088069 (19:464b)
 [6]
 M. Kotani, A. Amemiya, E. Ishiguro & T. Kimura, Table of Molecular Integrals, Maruzen, Tokyo, 1955. MR 19, 324. MR 0087231 (19:324f)
 [7]
 J. Miller & R. P. Hurst, "Simplified calculation of the exponential integral," MTAC, v. 12, 1958, pp. 187193. MR 21 #3103. MR 0104348 (21:3103)
 [8]
 A. Ralston, A First Course in Numerical Analysis, McGrawHill, New York, 1965, pp. 301306. MR 32 #8479. MR 0191070 (32:8479)
 [9]
 D. van Z. Wadsworth, "Improved asymptotic expansion for the exponential integral with positive argument," Math. Comp., v. 19, 1965, pp. 327328.
Additional Information
DOI:
http://dx.doi.org/10.1090/S0025571868998724
PII:
S 00255718(68)998724
Article copyright:
© Copyright 1968 American Mathematical Society
