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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Numerical computation of a generalized exponential integral function
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by W. F. Breig and A. L. Crosbie PDF
Math. Comp. 28 (1974), 575-579 Request permission


Series expansions and recurrence relations suitable for numerical computation are developed for the generalized exponential integral functions. Tables of these functions are presented in the microfiche section of this issue.
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  • G. E. Hunt, The transport equation of radiative transfer with axial symmetry, SIAM J. Appl. Math. 16 (1968), 228–237. MR 225550, DOI 10.1137/0116020
  • G. B. Rybicki, "The searchlight problem with isotropic scattering," J. Quant. Spectrosc. Radiat. Transfer, v. 11, 1971, pp. 827-849. W. F. Breig & A. L. Crosbie, "Two-dimensional radiative equilibrium," J. Math. Anal. Appl. (To appear.)
  • Yudell L. Luke, Integrals of Bessel functions, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1962. MR 0141801
  • Milton Abramowitz and Irene A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D.C., 1964. For sale by the Superintendent of Documents. MR 0167642
  • Tables of the Generalized Exponential Integral Functions, Harvard University, Annals of the Computation Laboratory. Vol. 21, Harvard Univ. Press, Cambridge, Mass., 1949.
  • M. M. Agrest and M. S. Maksimov, Theory of incomplete cylindrical functions and their applications, Die Grundlehren der mathematischen Wissenschaften, Band 160, Springer-Verlag, New York-Heidelberg, 1971. Translated from the Russian by H. E. Fettis, J. W. Goresh and D. A. Lee. MR 0346209
  • S. Chapman, "The absorption and dissociative or ionizing effect of monochromatic radiation in an atmosphere on a rotating earth," Proc. Phys. Soc., v. 43, 1931, pp. 483-501.
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Math. Comp. 28 (1974), 575-579
  • MSC: Primary 65D20
  • DOI:
  • MathSciNet review: 0341811