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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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The numerical computation of two transcendental functions related to the exponential integral
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by D. M. Chipman PDF
Math. Comp. 26 (1972), 241-249 Request permission

Abstract:

Algorithms for the computation of numerical values of the two transcendental functions \[ \int _0^x {\tfrac {1}{t}} [\operatorname {Ei} (t) - \gamma - \ln \left | t \right |]dt\quad {\text {and}}\quad \int _0^x {\tfrac {1}{t}} [\operatorname {Ei} (t) - \gamma - \ln \left | t \right |]\exp ( - t)dt,\] where $\gamma$ is Euler’s constant and $\operatorname {Ei} (t)$ is the exponential integral, are presented for all ranges of the real variable $x$. A table of values of these functions is also given.
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Math. Comp. 26 (1972), 241-249
  • MSC: Primary 65D20
  • DOI: https://doi.org/10.1090/S0025-5718-1972-0298885-6
  • MathSciNet review: 0298885