On the function inverse to the exponential integral function

Details On the function inverse to the exponential integral function On the function inverse to the exponential integral function

Jan 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986baicz..37....8p&link_type=abstract

Astronomical Institutes of Czechoslovakia, Bulletin (ISSN 0004-6248), vol. 37, Jan. 1986, p. 8-12.

Statistics

Computation

4

Computational Astrophysics, Computer Programs, Entire Functions, Equations Of Motion, Exponential Functions, Meteoroids, Celestial Mechanics, Chebyshev Approximation, Series Expansion

Scientific paper

The paper deals briefly with one integral of the basic equations of meteoric physics which includes the exponential integral function Ei(x). It is further shown that the approximation of the function inverse to Ei(x), Ei-1(x), is also required. The construction of this function, using series expansion by means of Chebyshev polynomials, is described. Computer programs, written in Fortran IV G, which serve to compute the values of Ei(x) and Ei-1(x), accurate to 13 decimal figures, are included.

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