The numerical computation of two transcendental functions related to the exponential integral

Author:
D. M. Chipman

Journal:
Math. Comp. **26** (1972), 241-249

MSC:
Primary 65D20

DOI:
https://doi.org/10.1090/S0025-5718-1972-0298885-6

MathSciNet review:
0298885

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Abstract | References | Similar Articles | Additional Information

Abstract: Algorithms for the computation of numerical values of the two transcendental functions

**[1]**A. Erdélyi, W. Magnus, F. Oberhettinger & F. Tricomi,*Higher Transcendental Functions*, Vol. 2, McGraw-Hill, New York, 1953, pp. 143-144. MR**15**, 419.**[2]**D. M. Chipman & J. O. Hirschfelder,*J. Chemical Physics*(To appear.)**[3]**M. Geller & E. W. Ng, ``A table of integrals of the exponential integral,''*J. Res. Nat. Bur. Standards Sect. B*, v. 73B, 1969, pp. 191-210. MR**40**#2910. MR**0249669 (40:2910)****[4]**I. S. Gradšeĭn & I. M. Ryžik,*Tables of Integrals, Series and Products*, Fizmatgiz, Moscow, 1963; English transl., Academic Press, New York, 1965, pp. 574, 334, 532. MR**28**#5198; MR**33**#5952.**[5]**P. Wynn, ``The rational approximation of functions which are formally defined by a power series expansion,''*Math. Comp.*, v. 14, 1960, pp. 147-186. MR**22**#7244. MR**0116457 (22:7244)**

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1972-0298885-6

Keywords:
Integrals of exponential integral,
integrals of logarithm integral,
exponential integral,
logarithm integral

Article copyright:
© Copyright 1972
American Mathematical Society